Maple Questions and Posts

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 Where u(x,0)=f(x),D[2](u)(x,0)=g(x),u(0,t)=0=u(0,1)

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

I keep getting errors empty sets or only header information using the HTTP or URL package to when trying to download files from here through Maple. 

How do I download the csv files from here?



is it possible to solve the attached partial differential equation with zero initial boundary condition?

If not by assuming diff(u(sigma, tau, phi, t), t, t)=0 is there an answer for the equation?


Is there anyway to animate d'Alemberts wave solution as time goes on? 

Suppose I have the initial value problem:

PDE:   utt = uxx

ICS:    u(x,0) = x

            ut(x,0) = f(x)

where f(x) is piecewise defined as:

f(x) = cos(pi*x), -1/2 < x < 1/2               and

             0             otherwise

Hello, I was wondering about the following.

cos(Pi/2^n) can be converted to a radical for each integer n, because cos(Pi/2)=0 is known and successively

cos(x)=sqrt( (1+cos(2x))/2 )

so in principle radical expressions should exist for all integers n. But maple only converts cos(Pi/8) to a radical, but not cos(Pi/16) and higher powers. Is there a simple way without writing an own program to obtain these radical expressions using convert(*,radical)?

Suppose two following Eqs.:

(1) du/dt+d(u*w)/dx=0

(2) dw/dt+wdw/dx=0

I want to expand u(x,t) and w(x,t) in the power series of epsilon



and change the variables x,t to X,T as follows

 X=(x-alpha*t) and T=beta*t,

and solving Eqs. (1) and (2) for different order of epsilon (epsilon, epsilon^2, epsilon^3,…) to finding u0,w0,u1,w1,…

How do I do that?




Im trying to solve an energy functional with two independant variables. so the result would be a system of PDEs.

Ive checked

DEtools-Hamilton eq


vector calculus-EulerLagrange(f, t, x(t))

But I couldnt figure out how to use 2 independant variables in these commands.


Your help would be much appreciated



Does there exist a way in Maple that you can detect a change in a text file without having
to constantly having to call the readdata which keep the command prompt busy in Maple.

Maple 2018  has recently has  become sluggish to start up  -and very slow to respond to input. Can anyone suggest remedies?  I have plenty of space and CPU. Other apps seem to start fine.  Can any suggest a diagnosis and/or solution?


How do I know that what numerical method has maple used in this code.?

dsolve({eq11,eq21,eq3,eq4,bc21,bc22},numeric,continuation=lambda1,maxmesh=15000, output=array([seq( i, i=0..N,0.01 )]))

Good day.

Reading through the Fuzzy C-Means routine (attached) written by the one-and-only Carl Love, I was wondering if anybody can tell me how to specify which points in the data belong most strongly to the assigned cluster. 

In the attached routine, there are 2 cases considered; two and three clusters. 

It would be interesting to obtain a list of all points that are assigned to each respective cluster.

Thanks for reading!

I have question how start histogram from 0? I have vector with probablity which start from 0.

I generate samples from my probablity:

pr=values of probablity



Q=Histogram(A, binwidth=1,range=0..10):


I try to use bindwidth=-1 but it's impossible. 

How start histogram from 0 for vectors in maple15?

Hi !
I have been working for a long time to evaluate several infinites summations .
I often use a command like  "simplify(combine(sum1-sum2))"  to check if both summations are equal .
Now ,I found that the "simplify" command is not reliable at all . Check my file "" .
I have Maple 2017 and 2018 on Windows 10 .
I'm angry because I have to double check all of my work trying not to use this buggy command.
If someone can confirm that the 2020 version of Maple has an improved "simplify" command , I will buy it immediately.
Thank you !

Hello I am trying to compute the following expression;


(x^2r+y^2+z^2) gamma^{0} partial_{x} (-xy(1-r)) gamma^{2} partial_{y} \Psi


in which r = sqrt(1-K(x^2+y^2+z^2)), K is a constant, the gamma's are the Dirac gamma matrices and \Psi is the wave function. Essentially I would like to have partial_{x} operate on the expression to the right of it and apply product rule where there will be three terms with the last one being partia_{x} partial_{y} \Psi where it evaluates on everything expect the partial and the wavefunction, combining into the term partial_{x} partial_{y} \Psi, and if the partials are the same they combine into a single second order derivative with respect to the given variable. I have done this calculation by hand but seeing that there is an extensive amount of terms I would like to automate it using Maple. I have tried using the D() calling sequence but it doesn't quite give me what I am looking for. Is there anything documentation which will give me what I am looking for?

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