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Re: simultaneous differential equations

• To: mathgroup at smc.vnet.net
• Subject: [mg120226] Re: simultaneous differential equations
• From: Heike Gramberg <heike.gramberg at gmail.com>
• Date: Thu, 14 Jul 2011 05:21:18 -0400 (EDT)
• References: <201107130710.DAA02332@smc.vnet.net>

Here's a very basic example: solving two coupled linear ODEs

Clear[x, y];
dsol = DSolve[{x'[t] == -x[t] + 4 y[t], y'[t] == -x[t] - y[t],
     x[0] == 1, y[0] == 1}, {x, y}, t];
{xf, yf} = {x, y} /. dsol[[1]]

ParametricPlot[{xf[t], yf[t]}, {t, 0, 5}]

Heike

On 13 Jul 2011, at 08:10, J and B wrote:

> I hope it is ok to ask this general question.  I am looking for examples of
> how to solve simultaneous differential equations using Mathematica.  I would
> prefer examples that do not use manipulations as shown in the demonstration
> projects. 
>
> Thanks 

• References:
  • simultaneous differential equations
    • From: "J and B" <noslowski@comcast.net>