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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



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