Re: How solve a system of ODE with periodic coeffs.
- To: mathgroup at smc.vnet.net
- Subject: [mg30773] Re: How solve a system of ODE with periodic coeffs.
- From: Joel Storch <jstorch at earthlink.net>
- Date: Sun, 9 Sep 2001 20:43:08 -0400 (EDT)
- References: <9nal83$np0$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Guillermo Sanchez wrote:
> I would like solved System of ODE with periodic coeffs. as this:
>
> DSolve[{Derivative[1][x1][t] == Cos[t]*x1[t] + 1.5*x2[t],
> Derivative[1][x2][t] == 2.1*x1[t] + 2.3*x2[t], x1[0] == 1, x2[0] ==
> 0}, {x1[t], x2[t]}, t]
>
> I wish obtain the analitycal solution. I have tested with DSolve but
> doesn`t work (Even using Rationalize, giving numeric values of initial
> conditions,i.e.: a =1).
>
> Any help (package, etc.) Thanks
You should look at differential equation texts that cover FLOQUET THEORY