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I want to write a code to generate Legendre Polynomials using the Gram-Schmidt Process. I have no experience with programing. Here is how the process should work:

Given "(f) = {f[0]=1, f[1]=x , f[2]=x^(2) , f[3]=x^(3) , ... , f[n]=x^(n)} "
Find the Legendre Polynomials: "{P[0] , P[1] , P[2] , P[3] , ... , P[n]}"

First,  P[0]=f[0]=1

then, the rest are defined recursively by

P[1]=f[1]-(()/())*P[0] = x

I have a problem with animations using a density plot as background.

The density plot covers the animation.


Here is an example:



Can this be solved? 


Best regards


I am unable to find where the problem is within a plot. Here is the error message: Error, (in plot) incorrect first argument [(k-1)*r*(cos(t)+cos(k-1)*t/(k-1)), (k-1)*r*(sin*t-sin(k-1)*t/(k-1)), t = 1 .. 1, r = 1 .. 1, k = 3 .. 3]

Is there a symbol or something that i am supposed to be looking for in the error message so i know where the error is occuring?

Firstly applogies for if this question has been asked before.

I am trying to plot a simple epidemic model for where I can change the rates.

My equations are:

de1:= diff(X(t),t)=a*X(t).Y(t);

de2:=diff(Y(t),t)=a*X(t).Y(t) - b*Y(t);

where X is susceptibles and Y is infected.

I would like to be able to produce a graph with the susceptible and infected plotted. Where i can change the initial conditions of X(0) and Y(0) using sliders...

I have two inequalities in the complex variable z, called "ineq" and "ineq2".  When I issue the following plotting command, I can show the region of the complex plane that satisfies both inequalities:  It appears as a black region:


plots[implicitplot](eval(ineq = ineq2, z = x+I*y), x = -8 .. 8, y = -8 .. 8, gridrefine = 3, filled = true)


Now, I would like to generate a similar overlap plot, but for three inequalities,...


I just noticed something rather peculiar (well, to me, at least). When I compute the limit


as is, I get the expected result of exp(1).


However, if I load the RealDomain package prior to computing the limit,



I get that the limit is undefined. 

Any ideas as to why that is the case? Thanks!

As an intermediate result in a longer calculation I got the following equation:

a*(p-ps)+b*(p-ps-b*ys/a+E-ys) = 0

Isolating p, Maple delivers

isolate(a*(p-ps)+b*(p-ps-b*ys/a+E-ys) = 0,p)


Calculated manually,...

Dear all,

Maple gives me the complete solution to the attached PDE. This solution is expressed in terms of KummerU and KummerM. What I want is to obtain the solution for real numbers only, i.e. I want to get rid of the possible imaginary numbers in the solution. This implies that the separation constant, _c1, must be less or equal to 2r. 

How can I do this?

Furthermore, the four arbitrary constants will need to be determined through boundary conditions....

Hi all

Im trying to calculate scientific error propagation with data from Excel. Unfortunately Im having troubles making the package work. What I want to do is import a list from Excel with values, and another list of the error of each value.

The problem comes when using the Combine function on the imported arrays from excel.
Could anyone help me work this out? I feel it should be possible for Maple to import tables from Excel, calculate the propagated error. ...

I have four equations:

eqs:={8x-5z=0, -5y-2x=0, 2z-8y=0} and 13x-4y+9z=1

I've been trying for the past hour to solve both equations for x, y, and z and have not been successful.

What commands do I use to solve this problem?

Hi,i'm new with maple, please help me solve these 2nd order ODES :)





my codes are:


declare((x, y)*t)

deq2 := diff(x(t), `$`(t, 2)) = -x(t)/(x(t)^2+y(t)^2)^(3/2), diff(y(t), `$`(t, 2)) = -y(t)/(x(t)^2+y(t)^2)^(3/2)

ic2 := x(0) = 1, (D(x))(0) = 0, y(0) = 0, D(y) = 1

rosen := dsolve({ic2, deq2}, type = numeric, stiff = true, {x(t), y(t)})

What does error message in Title mean, and how can I cure it? (I cannot copy and paste from my .ws into thie question box).

Best ragards,     Michael Caola


I would see on the monitor the vector n > 10 with all his components, but the output of Maple is always the structure of the vectors.

For example, if I write:

Is there any easy way to download (or upload) several files in my maplecloud simultaneously. I seem to be able to highlight several files, but when I control-click it then only selects one.



I am trying to solve the so called Bethe ansatz equations in Mathematical Physics.

I have four multivariate polynomials equations with four unknown p_i(x[1],x[2],x[3],x[4]) i=1,2,3,4; which have integer coefficients. The equations are mixed; P_i is linear in x[j] for x[j]\ne x[i]; and x[i] is of order 10. Due to this structure,  I first eliminate x[4] from these equations. Then use resultant to eliminate x[3],  I got error messages (invalid series, in gcd...

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