Maple 17 Questions and Posts

These are Posts and Questions associated with the product, Maple 17

Please is it possible to increase the 1000000 limit of output? I tried doing some computation in form of power series for S10 but I got the message "1000000 limit of output exceeced". How can I resolve this?

i got some trouble when i tried to build large matrix. in my case, notification error out of bound appear when looping stop at 9 from 24 repeatation. 

and this is my looping command:

the result of the script was:

now i feel so desperate so finish my final project because the error, please help me

Hey guys,

I have the following occurence:

ii_inf:=x^(2-s)*(x^(-s)*GAMMA(3-s)*GAMMA(2-2*s)/(GAMMA(2-s)*GAMMA(3-2*s))+x^(s-2)*GAMMA(3-s)*GAMMA(2*s-2)/GAMMA(s))/(2-s)+(1/2)*(2*s*x-x+1)*(x+1)/(((x+1)^s)^2*(2*s^2-3*s+1))+x^(1-s)*(x^(-s)*GAMMA(2-s)*GAMMA(-2*s+1)/(GAMMA(1-s)*GAMMA(2-2*s))+x^(-1+s)*GAMMA(2-s)*GAMMA(2*s-1)/GAMMA(s))/(1-s)+(x+1)/((2*s-1)*((x+1)^s)^2)+x/((-1+s)*x^s)-(x+1)/((-1+s)*(x+1)^s);

ii_inf=simplify(ii_inf);

asympt(ii_inf,x,3);

Multiseries:-asympt(ii_inf,x,1);
gives different results...the last one however seems to be the correct one...

What is happening here?

 

Hello, I am trying to plot an expression for my General Relativity class, this expression is one of the expanding universe FLRW solutions to the Einstein field equations and contains an unknown functions.

sqrt(S(t))*sqrt(1+S(t))-arcsinh(sqrt(S(t))) = t

My question is how do I get maple to plot this?

Thank you

If I calculate the integral:

z:=exp(I*t)

evalf(Int(z^(1/2)*(diff(z, t)), t = 0 .. 2*Pi))

I get -1.33333333*I

If I calculate

int(z^(1/2)*(diff(z, t)), t = 0 .. 2*Pi)

I get -4/3

so where is the I coming from? Am I doing sth  something   wrong?

I might add: if I calculate the same for z:=0.5+exp(I*t) I get 0 and -I*0.4714....

so what is going different here?


 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw
 

restart

with(student)

NULL

G := S(t)*L(t)

S(t)*L(t)

(1)

m := 10

S[lambda] := sum(S[b]*lambda^b, b = 0 .. m); L[lambda] := sum(L[b]*lambda^b, b = 0 .. m); G[lambda] := subs(S(t) = S[lambda], G); G[lambda] := subs(L(t) = L[lambda], G[lambda]); G := G[lambda]; s := expand(G, lambda); ft := unapply(s, lambda); for i from 0 while i <= m do A1[i] := ((D@@i)(ft))(0)/factorial(i); print(A[i] = A1[i]) end do

A[0] = S[0]*L[0]

 

A[1] = L[0]*S[1]+L[1]*S[0]

 

A[2] = L[0]*S[2]+L[1]*S[1]+L[2]*S[0]

 

A[3] = L[0]*S[3]+L[1]*S[2]+L[2]*S[1]+L[3]*S[0]

 

A[4] = L[0]*S[4]+L[1]*S[3]+L[2]*S[2]+L[3]*S[1]+L[4]*S[0]

 

A[5] = L[0]*S[5]+L[1]*S[4]+L[2]*S[3]+L[3]*S[2]+L[4]*S[1]+L[5]*S[0]

 

A[6] = L[0]*S[6]+L[1]*S[5]+L[2]*S[4]+L[3]*S[3]+L[4]*S[2]+L[5]*S[1]+L[6]*S[0]

 

A[7] = S[5]*L[2]+S[2]*L[5]+S[1]*L[6]+S[0]*L[7]+S[4]*L[3]+S[3]*L[4]+S[6]*L[1]+S[7]*L[0]

 

A[8] = S[2]*L[6]+S[0]*L[8]+S[8]*L[0]+S[4]*L[4]+S[1]*L[7]+S[3]*L[5]+S[6]*L[2]+S[5]*L[3]+S[7]*L[1]

 

A[9] = S[6]*L[3]+S[9]*L[0]+S[4]*L[5]+S[2]*L[7]+S[3]*L[6]+S[8]*L[1]+S[0]*L[9]+S[1]*L[8]+S[7]*L[2]+S[5]*L[4]

 

A[10] = S[0]*L[10]+S[10]*L[0]+S[1]*L[9]+S[6]*L[4]+S[7]*L[3]+S[3]*L[7]+S[2]*L[8]+S[4]*L[6]+S[9]*L[1]+S[5]*L[5]+S[8]*L[2]

(2)

s[n+1] := (1-f)*alpha*(int(v__n, t = 0 .. t))-beta*c*(int(A__n, t = 0 .. t))-(`&theta;__1`+a+Pi)*(int(s__n, t = 0 .. t))

v[n+1] := `&theta;__1`*(int(s__n, t = 0 .. t))-((1-f)*alpha+f*`&theta;__2`+a+Pi)*(int(v__n, t = 0 .. t))

e[n+1] := `&beta;c`*(int(A__n, t = 0 .. t))-(delta+a+Pi)*(int(e__n, t = 0 .. t))

i[n+1] := delta*(int(e__n, t = 0 .. t))-(eta+a+Pi)*(int(i__n, t = 0 .. t))

r[n+1] := eta*(int(i__n, t = 0 .. t))+`f&theta;__2`*(int(v__n, t = 0 .. t))-(a+Pi)*(int(r__n, t = 0 .. t))

for n from 0 to 4 do  end do

NULL

(1-f)*alpha*v__n*t-beta*c*s__0*i__0*t-(`&theta;__1`+a+Pi)*s__n*t

(3)

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ``s__2__`, `s__3, ``s__4`,  `i__1`, `i__2, ``i__3`, `i__4`,   `r__1`, `r__2`, `r__3, ``r__4`:"

Error, unterminated for loop

"for n:=0, n=1, n=2, n=3, n=4:  `s__1, ` `s__2__`, `s__3, __3__, s__4`, `i__1__`, `i__2, ` `i__3`, `i__4`, `r__1`, `r__2`, `r__3, ` `r__4`:"

 

"and s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

i(t) = i__1+`i__2, `+i__3+i__4, r(t) = r__1+r__2+r__3_+r__4

"but A[n]:=(1)/(n!) [((&DifferentialD;)^(n))/(&DifferentialD; lambda^(n)) ((&sum;)`s__k`lambda^(k))((&sum;)`i__k`lambda^(k)) ]() ? ()|() ? (lambda=0)"

Error, missing numerator

Typesetting:-mambiguous(Typesetting:-mrow(Typesetting:-mi("but", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msub(Typesetting:-mi("A", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mi("n", fontstyle = "italic", mathcolor = "#c800c8", mathvariant = "italic", placeholder = "true"), subscriptshift = "0"), Typesetting:-mo("&Assign;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfrac(Typesetting:-mn("1", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&excl;", accent = "false", fence = "false", largeop = "false", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "false", rspace = "0.1111111em", separator = "false", stretchy = "false", symmetric = "false")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0"), Typesetting:-mrow(Typesetting:-mo("&DifferentialD;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.0em", mathvariant = "normal", movablelimits = "unset", rspace = "0.0em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("n", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), bevelled = "false", denomalign = "center", linethickness = "1", numalign = "center"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`s__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-munderover(Typesetting:-mo("&sum;", accent = "unset", fence = "unset", largeop = "true", lspace = "0.0em", mathvariant = "normal", movablelimits = "true", rspace = "0.1666667em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mrow(Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), Typesetting:-mn("4", mathvariant = "normal"), accent = "false", accentunder = "false"), Typesetting:-mi("`i__k`"), Typesetting:-msup(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mi("k", fontstyle = "italic", mathvariant = "italic"), superscriptshift = "0")), mathvariant = "normal"), Typesetting:-mo("&InvisibleTimes;", accent = "false", fence = "false", largeop = "false", lspace = "0.0em", mathvariant = "normal", movablelimits = "false", rspace = "0.0em", separator = "false", stretchy = "false", symmetric = "false")), open = "&lsqb;", close = "&rsqb;", mathvariant = "normal"), Typesetting:-mfrac(Typesetting:-mambiguous(Typesetting:-merror("?"), Typesetting:-merror("missing numerator")), Typesetting:-mphantom(Typesetting:-mrow(Typesetting:-mi("x", fontstyle = "italic", mathvariant = "italic"), Typesetting:-mo("&equals;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "unset", rspace = "0.2777778em", separator = "unset", stretchy = "unset", symmetric = "unset"), Typesetting:-mi("a", fontstyle = "italic", mathvariant = "italic")), constraints = "height-only"), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center"), Typesetting:-mo("&verbar;", accent = "unset", fence = "unset", largeop = "unset", lspace = "0.1111111em", mathvariant = "normal", movablelimits = "unset", rspace = "0.1111111em", separator = "unset", stretchy = "true", symmetric = "unset"), Typesetting:-mfrac(Typesetting:-mphantom(Typesetting:-mi("f(x)", fontstyle = "italic", mathvariant = "italic"), constraints = "height-only"), Typesetting:-mrow(Typesetting:-mi("&lambda;", fontstyle = "normal", mathvariant = "normal"), Typesetting:-mo("&equals;", accent = "false", fence = "false", largeop = "false", lspace = "0.2777778em", mathvariant = "normal", movablelimits = "false", rspace = "0.2777778em", separator = "false", stretchy = "false", symmetric = "false"), Typesetting:-mn("0", mathvariant = "normal")), bevelled = "false", denomalign = "center", linethickness = "0", numalign = "center")))

 

``

"Pls how can I write this Maple code to help me generate `s__1` ,`s__2__ _` ` ___` `s__3 `,`s__4` ; `i__1 `, `i__2__` ,`i__3 `, `i__4`  and `r__1 `, `r__2` , `r__3 `,`r__4`  and finally generate                       "

"s(t)=`s__1_`+`s__2 __`+ `s__3, `+`s__4`,"

"i(t)=`i__1`+ `i__2, `+`i__3`+ `i__4`,   r(t)= `r__1`+ `r__2`+ `r__3_`+`r__4`:  "?""

``

NULL

NULL


 

Download Adomian.Elisha2.mw

 

 

 

 

 

 

 

 

 

 

 

I can't understand how to install this package "SADE" in Maple 17. Secondly, I am new to Maple. So Please guide me the process to install this package and how to use it. Thanks!

Hello everyone,

 

     I am having trouble trying to solve a system of differential equations. The modeling was made from the equilibrium equations of a pressure vessel. The set of equations is shown below:

     As you see it is a set of two second-order partial differential equations. So, we need four boundary conditions. This one is the first. It means that the left end of the pressure vessel is fixed.

This one is the second boundary condition. It means that the right end of the pressure vessel is free.

This one is the third boundary condition. It means that the inner surface of the pressure vessel is subject to an external load:

At last, we have the fourth boundary condition. It means that the outer surface of the pressure vessel is free.

     The first test I have been trying to do is the static case. In this case, the time terms (the right side of the two equations shown) is zero.

    The maple commands that I am using are the following:

 

restart; E := 200*10^9; nu := .33; G := E/(2*(1+nu)); RI := 0.254e-1; RO := 2*RI; p := proc (x) options operator, arrow; 50000000 end proc; sys := [E*(nu*(diff(v(x, r), x))/r+nu*(diff(diff(v(x, r), x), r))+(1-nu)*(diff(diff(u(x, r), x), x)))/(-2*nu^2-nu+1)+G*(diff(diff(u(x, r), r), r)+diff(diff(v(x, r), x), r)+(diff(u(x, r), r))/r+(diff(v(x, r), x))/r) = 0, E*((1-nu)*(diff(diff(v(x, r), r), r))+nu*(diff(diff(u(x, r), x), r))+(1-nu)*(diff(v(x, r), r))/r-(1-nu)*v(x, r)/r^2)/(-2*nu^2-nu+1)+G*(diff(diff(u(x, r), r), x)+diff(diff(v(x, r), x), x)) = 0]; BCs := {E*(nu*v(L, r)/r+nu*(D[2](v))(L, r)+(1-nu)*(D[1](u))(L, r))/(-2*nu^2-nu+1) = 0, E*(nu*v(x, RI)/RI+(1-nu)*(D[2](v))(x, RI)+nu*(D[1](u))(x, RI))/(-2*nu^2-nu+1) = -p(x), E*(nu*v(x, RO)/RO+(1-nu)*(D[2](v))(x, RO)+nu*(D[1](u))(x, RO))/(-2*nu^2-nu+1) = 0, u(0, r) = 0}

sol := pdsolve(sys, BCs, numeric)

 

I am getting the following error:

 

Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions must depend upon exactly one of the independent variables: 0.1459531181e12*v(L, r)/r+0.1459531181e12*(D[2](v))(L, r)+0.2963290579e12*(D[1](u))(L, r) = 0

In this case, my boundary conditions do depend on more than one independent variable. How do I proceed?

 

Thank you in advance,

Pedro Guaraldi

 

 

Assume you have a matrix A and somewhere you want to make a copy of it like B and working with them independently. Let's say you have a loop and after doing a proc on B again you have to make it equal to A. So changes on B shouldn't effect on A. What is the common way of taking such copies of A in Maple?

The following methods don't work.
 

A:=Matrix(3);
B:=A;
B(1,1):=1;
A;
A:=Matrix(3);
B:=subs(B=A,B);
B(1,1):=1;
A;

What I came up with is the following but it will look weird if one really needs to write something meaningless like *2/2.

A:=Matrix(3);
B := (1/2)*subs(B = 2*A, B);
B(1,1):=1;
A;

 

I have the following expression:

expand((((o * (((h * h - h * v) * (a * h - a * v) * h * h * h * h * a * a * h - h * h * h * a * a * h * o * (h * h - h * v) * (a * h - a * v)) * a * a * h * h * h * h * h - h * h * h * a * a * h * h * h * h * h * a * a * h * (a * h - a * o) * (h * h - h * v) * (h - v)) * h * a * a * h * h * h * h * a * a * h * a * a * h * h * h * h * h - h * h * h * a * a * h * h * h * h * h * a * a * h * a * a * h * h * h * h * h * ((v * (a * h - a * v) * h * h * h * a * a * h - h * a * a * h * (h * h - h * v) * v * (a * h - a * v)) * a * a * h * h * h * h * h - h * a * a * h * h * h * h * a * a * h * (a * h - a * o) * (v * h * h * h - h * (h * h - h * v) * v))) * h * a * a * h * h * a * a * h * a * a * h * h - h * h * h * a * a * h * h * h * h * h * a * a * h * a * a * h * h * h * h * h * h * a * a * h * h * h * h * a * a * h * a * a * h * h * h * h * h * o * (((a * h - a * v) * h * a * a * h - a * a * h * o * (a * h - a * v)) * a * a * h * h - a * a * h * h * a * a * h * (a * h - a * o) * (h - v))) * h * h * a * a * h * h * h * h * a * a * h * a * a * h * h * h * h * h - h * h * h * a * a * h * h * h * h * h * a * a * h * a * a * h * h * h * h * h * h * a * a * h * h * h * h * a * a * h * a * a * h * h * h * h * h * h * a * a * h * h * a * a * h * a * a * h * h * (o * (v * (a * h - a * v) * h * h * h * a * a * h - h * a * a * h * (h * h - h * v) * v * (a * h - a * v)) * a * a * h * h * h * h * h - h * a * a * h * h * h * h * a * a * h * (a * h - a * o) * (v * v * h * h * h - h * (h * h - h * v) * v * v))) );

When I tun it through the Maple GUI I get this result:

-2*a^23*h^40*o*v^2+2*a^23*h^40*v^3

This is also what Mathematica gives me. However, if I run it through the Maple command line I get this result:

-a^77*h^97*o*v^2+a^77*h^97*v^3-a^23*h^40*o*v^2+a^23*h^40*v^3

Why are the results different?

I need a tutor for maple 17. Its very hard to program formulas and all even if its an online tutor im willing to pay

I am trying to see the solution to a PDE that I am coding with initial and boundary conditions. I know with the ODE, it shows the solution, but with the PDE I cannot seem to see it. Any suggestions?

Hello. I have a problem with DEplot and I hope someone could help me with this:

Hi!

I hope every one is ok.

I am running this code (see below)

m := 2;


X[0] := 14;
                              
Y[0] := 18;
                        
a := 1; b := 1; c := .1; d := 1;

alpha := 1;

for k from 0 to m do X[k+1] := GAMMA(k*alpha+1)*(a*X(k)-b*(sum(X(s)*Y(k-s), s = 0 .. k)))/GAMMA(k*alpha+1+1); Y[k+1] := GAMMA(k*alpha+1)*(-c*Y(k)+d*(sum(X(s)*Y(k-s), s = 0 .. k)))/GAMMA(k*alpha+1+1) end do

x := 0; y := 0

The following message pop out.

PLease HELP! HELP!.....

\

 

Suppose i have a message X encrypted using RSA with public code (n,e) and ascii (Here we treat the message as an array so don't worry about block-length) how would one go about writing a procedure that given a public key (n,e) with small n and a ciphertext message x will decrypt x. I have been looking online to see how we can get maple to take ascii into consideration but to no avail any help would be appreciated

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