Maxima linear system of 6 differential equations problem

On Tue, Oct 30, 2007 at 07:34:30PM +0100, wuko at onet.eu wrote:
> Dear All!


> I have a question concerning CAS Maxima and it's ability to solve
> linear system of 6 differential equations. Last week I got a school
> project, now I know that I cannot solve it by myself. First I
> thought about some program that could help me in calculations and
> found this fantastic piece of software. I've read some tutorials
> about it and solved several minor problems. Now I'm stuck with much
> bigger one. I hope that someone could really help me.

Thank you for being clear that this is a school project and for asking
for help in an appropriate way, rather than simply "please solve this
homework problem for me".

I will point you to the portions of maxima that will be of most use to
you (that I know about) and let you make an attempt to use them as I
am sure your instructor would prefer.

You can look for the runge kutta numerical solver, the function name
is "rk" and "? rk" in maxima will give you the documentation. 

Other things that might be useful to you are laplace and fourier
transforms. the functions are "laplace" and "fourier".

Beyond that, it can be useful to use taylor series or other spectral
methods especially when you have boundary conditions that can be
complicated. The "taylor" function may be helpful for that.

-- 
Daniel Lakeland
dlakelan at street-artists.org
http://www.street-artists.org/~dlakelan