How to plot a dynamical system as x' = f(x,y,z) , y'=g(x,y,z) . z'=h(x,y,z) ?

e.g.    x'=(x z )/y - x - 1

         y'=x y - 5 x z + y

         z'=( x z^3 )/y+( z^2)/y+6z

Hello!

I am trying to solve the differential equation:

for , 

From the page:

http://www.maplesoft.com/products/system_requirements.aspx

it would seem like ubuntu 12.04 is not officially supported for Maple 16. Could someone from Maplesoft comment if there are plans to add support with perhaps a patch? or will we have to wait until Maple 17?

I need to update for certain sofware, but would want to make sure I can run maple in an uncompromised way.

thanks

Hi

I browsed the forums but could not find a solution to my problem. Ii have a system of differential equations; however, I have the solution to one of the functions as an integral of another function in the system, but since the solutions are all numerical I don't know how to implement this. Here's the system and what I tried at first

#######################

eq1 := diff(W(r), r) = -(1-beta*(W(r)-W0))*(M(r)+4*Pi*r^3*p(r))/(beta*r*(r-2*M(r)));

balle := proc (L) local K, a, i, c, J;
J := L;
 c := nops(J);
 while J <> K do
K := J;
for i from 0 to c-1 do
if J[i+1] < J[i] then
a := J[i]; J[i] := J[i+1]; J[i+1] := a
end if
end do
end do;
return J
end proc

I got the error "Error, (in balle) invalid subscript selector " even if L is a list. I don't understand. Could you help me, pretty please? 

Hi everyone.

I need to plot a graph of y against x for the solutions for values of t form 0 to 0.003 seconds using

c=50m/s

beta=10

A=0.01m

L=0.5m

The equation is y(x,t) = A*e^(-beta(x-L-ct)^2/(L^2))

I also need to show that the above equation can be a solution for (d^2y/dt^2) = c^2 * (d^2y/dx^2) on maple.

Cheers if anyone could help me with this.

Darts.mw

I think it was Acer who did the coding for a similar previous problem. I modified it to find the components of a set which sum to 150.

Why is it that it doesn't find all the solutions with {assume=nonnegint}. eg i have to run a additional pgm {assume=binary} to catch all solutions.

1. is there a procedure to catch all?

2. is there a way i can put the list and the desired sum in the input: eg SSP(...

http://en.wikipedia.org/wiki/Hodge_theory
H(M) = ker(d_k) / im(d_k-1)

would like to see the example of calculation of H(M) above

I have been severely mystified by the following:
                                                                                                                      
I have...

why the command does not work: _EnvHorizontalName := x;_EnvVerticalName := y?

And a few lines later asks me the name of the axes

restart;
with(plots); with(plottools);

The circle S with center at the origin and radius 2 is given by the equation x2 + y2 = 4
The circle S have two tangents passing through the point (4, 1). Find the equation for each of them.
x^2+y^2 = 4;

subs(y(x) = y, solve(diff(subs(y = y(x), x^2+y^2 = 4), x), diff(y(x), x)));

Maybe I'm missing something but I thought boys surface was one surface and when I plot it in maple it appears to have two surfaces.

Assume; we have a set of elements like A:={2, 3, 6,24,7,5,25,100,124,32,...} with #A=20 and moreover, we know that some of these elements satisfy an equation, for example a^k=b^2 for some positive integers k ( a  and b are in A).

For example if a=2 be in A and b=64 be also in A, then k=6. I have written some loops including for and if, but I have exhausted. I see, I can’t arrange and link these functions together properly.

testing.mw

Hi all,

Basically, I want to substitute everthing in m using the s .

More or less, I am doing a reparameterization.

I have looked into subs command, but it does not quite does what I want.

It seems to me the Maple wont be substituting exp(-mu) to s1 ( or exp(mu) to 1/s1 ) if the exp has some other powers in it, such as exp(mu+tau).

Any ideas?

Thanks.

Casper

I am experimenting with the new AS3 flash questions and everything works as expected except that I cannot load external swf files using a xml file. I have a parent swf file that behaves well, except that this parent swf cannot load the external swf files. It works flawlessly on my own website (which even does not have a cross-domain.xml file in the root directory).

Is there a restriction in Maple T.A. that prevents loading xml files by a swf (and/or loading external swf's in general)?

I would like to know if it is possible to declare some variables in one parameter box (i would call it independ parameters) and other with parameters that depends on the first ones:

L=5

m=2

k=arctan(m/L)

(for exemple)

THanks