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I am working on solving a very complex differential equation.  I believe I have a solution and am currently trying to check the solution I have to see if it is correct.  the method I am using right now is to assign all of the derived expressions to variables and then ask Maple if my solution satisfies the differential equation.  That is to say, I do something similar to the following:

x := solution :

I would like if someone could help me with an example of the heat equation, this is lengthy so please bare with me.  When trying to recall your studies it is quite difficult to re-absorb all the different nomenclatures used by different people and put them into something you understand.  Some people use "c" for specific heat, some people use "s", some people use "a" for thermal diffusivity and some people use "k" which is also used for thermal conductivity. ...


I have a problem that has to do with the function dsolve in Maple 14.

This is my code: it is that equation:

du/dt   = d2u/dr2 +  du/r*dr  +  u  +  f(r,t);     r=(0,...,2]; t(0,...,1]

also we have conditions:






I need to find u(r,t) and to graph it

r and t are cylindric coordinates.


f(r,t) is some definite function.

everywhere i tried to find out how to solve system of linear equations like A*X=F, whre A is a matrix and X and F are vectors, the solution is X:=linsolve(A, F),

but in maple 14 linsolve doesn't work, so are there any analogues for this linsolve function in maple 14 or maybe another simple way to solve this system?




The coefficient of determination also known as R^2 tells how good a fit is. If R^2=1 the fit is perfect an if R^2=0 it's useless. But Maple don't have a native function to calculate R^2. I seached and found this:

But it only describe how to calculate R^2 on a 

I'm new to Maple and am trying to solve a set of simultaneous equations. The equations have two independent variables x and T (contained within the letters "a" to "l" and "G" in code below) and 5 dependent varaibles X,Y,Z,W,V. Ultimately I want to solve for X...V with various values of x and T, but at the moment I'm struggling to get my code to work for just one x and one T value. The code I have so far is:

> solutions := solve({0 = -a*(h-Y-X-Z-V+W...

Dear guys! My question is: "how can I evaluate x when I fix y for an example equation y:=x+x^2". for each value of x we have a value for y. we can obtain it for example with "eval". but how about in this case?



I am using Maple 14 full eddition (not classic) to represent some equations. I require Maple to calculate the summ from 1 to n of the odd terms only. Below is what I have developed so far off all terms in the series.

Can anyone assist in changing it to odd terms only?

Kind regards,


Substituting Periodic Fourier series expansion equation with standing wave equation


Maple formatting cuts off some of the information/question 
I've included a link to an image of the full question
and as text file

I am new to Maple and I have not been able to figure out how to do something that should be very simple.

Using Maple to derive the conditions of a problem, I arrive at the following equation:

3*a(-1/3*b/a)^2+2*b(-1/3*b/a)+c = 0

By hand, I can simplify this equation, but I cannot figure out how to Maple to duplicate my result.

What steps do I need to go through to get the equation in the simplified form:

1/3*(3*a*c-b^2)/a = 0


Hey guys. Can you help me with this problem? I'm trying to plug in a snowflake equation in finding the perimeter of a snowflake on the nth step. The function is as follows:


p:=n->(3*(3/4)^k, k=1..n);
I'm trying to find the limit of this equation and it's suppose to give me infinity by using this command:
limit(pn(n), n=infinity);     but it's not quite giving me the limit. The limit is...


I need to find the differential equation of the following situation:

There's is an epidemic in a city of a certain poupulation(P). The rate of the spread is propoptionnal to the to the number of people infected times the number of person who are not infected.

I need to find the differential equation of this situation where N(t) will represent the number of people infetected(N) bas on the time. The only information I have is the populaiont(P...

Dear Friends:

My original equation is

solve({(1-3*q2)*(1+lamda) = 0, r1*q1-2*r2*XA*(1+lamda) = 0, (1-2*q2)*q2-r2*XA^2 = 0, 1-3*q1+r1*XA = 0}, {XA, q1, q2, lamda})

The answer is

{XA = -1/r1, q1 = 0, q2 = RootOf(r2-r1*_Z+2*_Z^2)/r1, lamda = -1}, {XA = RootOf(-1+9*r2*_Z^2), q1 = 1/3+(1/3)*r1*RootOf(-1+9*r2*_Z^2), q2 = 1/3, lamda = (1/6)*(9*r2*r1*RootOf(-1+9*r2*_Z^2)+r1^2-6*r2)/r2}


Two questions:

1. Actually I want...


                     gama2 q2 - 2 gama1 XA=0

                    [-1] q1 + [1 - 2 q1] - C=0

              [-1] q2 + [1 - 2 q2] - C + gama2 XA=0

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