Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Based on information I learned here last week, I tried the following.  Summary: I enter three functions f,g,h. f Is a function of x and t, g is a function of y and t, h of z and t.  I want to plot a 3D curve. I know an intial value.  The curve looks good but quite very early saying "cannot evaluate the solution further right of 3.4774922, probably a singularity."  HELP!

f := 4.61376*x+1.320192000*cos(t)^2*x-.320192000*sin(t)*cos(t)^2*x+4.304656800*cos(t)^2*x^2+17.21862720*cos(t)*x^2+12.9477168*sin(t)^2*x^2-25.8954336*sin(t)*x^2+7.147008*sin(t)^3*x-21.441024*sin(t)^2*x+9.68025600*sin(t)*x+3.181248*sin(t)*x^3-1.3251456*sin(t)*cos(t)^2+2.6502912*sin(t)^2*cos(t)+0.6625728*sin(t)^2*cos(t)^2+5.2807680*cos(t)*x-5.3005824*sin(t)*cos(t)+0.9443529*x^4-3.181248*x^3+147.0230064*cos(t)^2+67.10736960*sin(t)^2+23.693094*x^2+6.8757264*cos(t)^4-61.58338560*sin(t)^3-11.047968*sin(t)+15.3958464*sin(t)^4+148.045536*cos(t)+55.0058112*cos(t)^3-5.2807680*sin(t)*cos(t)*x+38.16801;


g := 0.9443529*y^4-42.29607960*y^2-3.437942400*y^3-1.3314096*sin(t)^2*y^2+2.662819200*sin(t)*y^2-17.5101696*sin(t)^3*y+52.530508800*sin(t)^2*y+25.45344*cos(t)^2*y+3.437942400*sin(t)*y^3-11.85948*cos(t)^2*y^2-47.43792*cos(t)*y^2-138.4682688*sin(t)*y+101.81376*cos(t)*y-101.81376*sin(t)*cos(t)*y-25.45344*sin(t)*cos(t)^2*y+632.4697764-91.635840*sin(t)*cos(t)^2+183.27168*sin(t)^2*cos(t)+45.8179200*sin(t)^2*cos(t)^2-366.5433600*sin(t)*cos(t)+942.16392*cos(t)^2+247.7287584*sin(t)^2+39.20400*cos(t)^4-61.5833856*sin(t)^3-372.2907456*sin(t)+15.3958464*sin(t)^4+1259.59968*cos(t)+313.63200*cos(t)^3+103.4479296*y; 
h := z-2*sin(t)+2;
eqs := {f, g, h};
eqs2 := subs(x = x(t), y = y(t), z = z(t), eqs);
x0 := -0.896661124832438;
y0 := -1.7877356703982348;
z0 := -2;
ics := {x(Pi) = x0, y(Pi) = y0, z(Pi) = z0};
odes := diff~(eqs2, t);
res := dsolve(odes union ics), numeric);
plots:-odeplot(res, [x(t), y(t), z(t)], Pi .. 2*Pi); p1 := %;

A good graph is produced of maybe 10% of the answer.  Then:

Warning, cannot evaluate the solution further right of 3.4774922, probably a singularity

 

 

Dear Sirs, 

I am trying to construct for my students the situation in Maple how to calculate the maximum area of a right triangular garden, if the perimeter is 60 meters long, and the two known sides are x, y and the third side is z and is part of the garden which isn't covert by the perimenter fence. 

perimenter P = 60 -> x+y = 60 

Next using the Pythagoran theorem and solve. 

solve(x^2+z^2=y^2) and maple gives the solution z = sqrt(-x^2+y^2)

The area of the right triangle is T = 1/2*x*z 

where y can be found solve(x+y=60,y) - > y = 60-x

I insert this into the formula for my area formula. 

T(x) = 1/2*x*(sqrt(-x^2+(60-x)^2)

I solve(T'(x)=0) and get x = 20. 

However if I wanna show the that they can insert x = 20 into T(x), then the following happens. 
T(20) = 1/2*20*(sqrt(-x^2+(60-x)^2)

meaning Maple only inserts 20 the first x and not the second or third x. Any idea why this happens?  Does Maple think that the second and third x are functions? 

Best Regards

Fred 

I have a numerical solution for an ODE. (You can find the attached code: numerical_solution.mw)

What are the simple methods in order to create a table as follows in Latex by using these datas which we derived in Maple?

 

Hi, i will post the executed code so you can see what i am saying, essentially i want to know what i am doing wrong here to have simplify not work as a command line function but  it does when i right click the output and select it and the equation label of that output is inserted as the oprand.

I feel like maple is not wanting to be entirely forthcoming with me today or something, but in a more deeper contemplation, i see that refering to the maple interface as if it is a sentient entity is a true indication that i need a social life.

 

But as you will see, the same failure occurs for the ListTools partial sums feature when implemented in commandline code, but works perfectly well when it is selected by right clicking on the output intended 

Download MAPLE_PLEASE_HELP_aGAIN.mw

 

Download MAPLE_PLEASE_HELP_aGAIN.mw

I can not integrate the following integral using maple 2016. Please guide me how to do it. I am a new user.


int(12.*x^3*c[2]+6.*x^2*c[1]+x^2*exp(x^3*c[2])*exp(x^2*c[1]), x = 0. .. 1.)

 

Letter_V_kaput.mwsLetter_V_working.mws

The two attached programs are such that the "kaput" version uses a procedure to draw the letter V, with the option of a flat top or pointed top.  The last parameter, s, takes on values "p" or "f" for pointed or flat respectively. - but I get error messages.  The Letter_V_working programdoes not use a proc, but works.  Where is the error?

  Thanks in advance for any help.

   .  .

Hi, I'm new to Maple and I'm trying to create a phaseportrait for the equation:

dy/dx = x2-y2 

when x = -3..3 and y = -3..3

If anyone can help me that would be great.

Thanks.

Above in the figure, the trapezoid method. How to fix the error?

And how to solve this interval using the method of rectangles?

Dear all

When requesting Maple to solve, for example, the 2D Laplace equation the default solution is 

U(x, y) = _F1(y-I*x)+_F2(y+I*x)

How can I ask Maple to provide a solution in real variables? I've tried  "assuming U(x,y) real", but the result is the same. 

Thank you very much for your help.

I want to use Burr distribution and hence I am creating custom probability distribution. The pdf of Burr is not piecewise. It gives error.

 

burrpdf := alpha*k*((x-gamma)/beta)^(alpha-1)/beta(1+((x-gamma)/beta)^alpha)^(k+1)

burr_distribution := Statistics[Distribution](PDF = (alpha > 0, beta > 0, gamma > 0, k > 0), burrpdf)

 

Error, (in Statistics:-Distribution) invalid input: too many and/or wrong type of arguments passed to NewDistribution;

how can i plot this plot in maple

 

Dear all

How compute the area ( closed area)  between the curves x=2-y^2,  y=x and y=-1 using simple or double integral.

Please, see the following figure.

Which  appropriate integral in Maple can be formulated to compute the area.

Many thanks for your help.

 

 

Hello everyone ,I have an easy question:

x,y:=1,2;

x+y=3;

how to display 1+2=3 rather than 3+3?Are there some suggestions to offer?

Thanks a lot~

 

Getting error as invalid product/quotient. Someone help me to correct this error.

 

Matrix(2,1,[A[1],B[1]]):=MatrixInverse([Q[1]])*([Q[2]] )*..* MatrixInverse([Q[j]])*([Q[j+1]])* ..*MatrixInverse([Q[2 n-2]])*([Q[2 n-1]])Matrix(2,1,[A[N],B[N]]);

 

how to plot this equation?

4*del/(4*del+(1+del)^2*sinh(KL)^2)

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