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

```

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