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>