Linear ODE systems
- To: mathgroup at smc.vnet.net
- Subject: [mg40705] Linear ODE systems
- From: Selwyn Hollis <selwynh at earthlink.net>
- Date: Mon, 14 Apr 2003 04:04:52 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Inspired by a recent MathGroup thread, I've just posted a new version
of my DETools package, which now extends DSolve and NDSolve so that
equations may be given in matrix-vector form. For instance,
DSolve[y'[t] + {{-1, 1},{-1, -1}}.y[t] == {0,0}, y[t], t]
returns
y[t] -> {E^t*(C[1]*Cos[t] - C[2]*Sin[t]), E^t*(C[2]*Cos[t] +
C[1]*Sin[t])}
Also new is a function named GreensFunction, which computes Green's
functions for linear second-order initial-value problems and
boundary-value problems.
http://www.math.armstrong.edu/faculty/hollis/mmade/DiffEqs
-----
Selwyn Hollis
http://www.math.armstrong.edu/faculty/hollis