Subject: solve system of nonlinear differential equations
From: Jaime Villate
Date: Mon, 10 Dec 2012 09:38:31 +0000
On 12/10/2012 05:33 AM, Ether Jones wrote:
>
> diff(x,t,2) = f1(diff(x,t),diff(y,t));
>
> diff(y,t,2) = f2(diff(x,t),diff(y,t));
>
>
> initial conditions at t=0:
>
> x:Xo; y:Yo; diff(x,t):Vxo; diff(y,t): Vyo;
>
>
> Please, What is the most expedient method for solving the above system
> of differential equations using Maxima?
>
It depends on the particular functions f1 and f2 that you are interested
in. I think there is no general method. If f1 and f2 are linear, you
might look for an analytic solution, while for other functions you can
only find an approximate numerical solution.
Regards,
Jaime