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