How to laplace transform for hypergeometric form in maple

if rsolve is solving difference equation for L(x) in summation(L*z^n, n=0..infinity)

can i use double encapsulation to solve for summation(L*z^n/n!, n=0..finity)

step 1 use rsolved result of a given classic difference equation times z^n/n! * t^n

step 2 then summation step 1 and use celine method to change into difference equation again

step 3 solve this new difference equation

then i imagine L should be L*z^n/n!

but i am not sure...

I have

f(x,y)=x y+x^2+1

and

g(t)=(2 t, 3 t).

I want to obtain the function (f o g)(t)  as a real-to-real one variable function.

What I tried:

f:=(x,y) -> x y+x^2+1,   it's ok;

g:=t -> <2 t, 3 t>,  it's ok.

But f@g  returns f@g.

How it would be possible to obtain f o g ?

Hi,

I would like to know if the maple student version can give the analytic solutions of a system of non linear and/or linear equations. 

thanks

 Hi,

I have the following set of equations and boundary conditions. The problem is I cannot be able to make accurate guesses with the shooting method. I request your assistance. 

> k1 := diff(X[1](t), t) = X[2](t);
> k2 := diff(X[2](t), t) = M*(X[1](t)-1)-(2*(eta+b))*X[2](t);
> k3 := diff(X[3](t), t) = X[4](t);
> k4 := diff(X[4](t), t) = (2*Sc*Du*(eta+b)*X[6](t)-Du*lambda*X[5](t)-2*Pr*(eta+b)*X[4](t)-Pr*Ec*X[2](t)^2-Pr*Ec*M*(X[1](t)-1)^2)/(1-Du*Sr);

Hello everyone,

I have data in Excel sheet. I want to make the data smooth using cubic spline. 

My try can be found in the attached maple sheet. In my try, i was unable to see the

difference bewteen the exact data and the interpolated data. Please have a look and

help to smooth the given data in the attached Excel sheet.

Cubic_spline_smoothi.mw

i have a problem when i input this code in maple,..

how it can be error?

what the solve?

thanks for help me

the code:

> with(plots); with(DEtools); with(plottools); a := 0, 5; b := 0, 2; c := 0, 7; d := 0, 2; E := 0, 1;
                                    0, 5

i have a problem when i input this code in maple,..

how it can be error?

what the solve?

thanks for help me

the code:

> with(plots); with(DEtools); with(plottools); a := 0, 5; b := 0, 2; c := 0, 7; d := 0, 2; E := 0, 1;
                                    0, 5

The following commands can be plotted by maple 13&15,
but can't be done by 16.

restart;
x1 := sech(sqrt(a)*t); x2 := -sech(sqrt(a)*t)*tanh(sqrt(a)*t);
g1 := proc (t) options operator, arrow; int((int((eval(x2, t = tau))*sin(Omega*tau), tau = 0 .. u))/(eval(x2, t = u))^2, u = 0 .. t) end proc;
plot3d(subs(a = 1, g1(t)), Omega = 0 .. 3, t = 0 .. 1);
g2 := proc (t) options operator, arrow; int((int((eval(x2, t = tau))*cos(Omega*tau), tau = 0 .. u))/(eval(x2, t = u...

Something like this

This example was reported to me after a Calculus II student encountered this ridiculous result:

f := (k+5)/sqrt(k^7+k^2):
Int( f, k=1..infinity ):
% = value( % );
             /infinity                              
            |              k + 5                    
            |          -------------- dk = -infinity
            |                   (1/2)               
           /1          / 7    2\                    
                       \k  + k /                    

Chebyshev polynomials have the form:

Tn(x) = cos(n*arccos(x))

orthogonality interval is (-1, 1) for n = (2, 3, 4,

In the name of God,

Hello dear experts,

I have a nonlinear multivariate system. By running fsolve and with the same initial values, 2 times, at the first time it yields the result but at the second time it doesn't solve. All of the settings in the both fsolve executions are the same.

Do you have any idea?

Best regards,

Recursive algorithm for finding the sum of the first n odd positive integers.

 procedure   odd_sum ( n: positive integer )

    if   n = 1   then   return   1

    else   return