EquationTrekker for system of two 1st order ODEs
- To: mathgroup at smc.vnet.net
- Subject: [mg109381] EquationTrekker for system of two 1st order ODEs
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Sat, 24 Apr 2010 04:02:01 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- Reply-to: murray at math.umass.edu
Is it possible to use the EquationTrekker package to plot solutions of a
system of two first-order ODEs?
With Mathematica 7.0.1, I try:
<<EquationTrekker`
EquationTrekker[
{x'[t] == 2 x[t] + 3 y[t], y'[t] == x[t] - y[t]},
{x, y}, {t, 0, 20},
PlotRange -> {{-5, 5}, {-5, 5}}]
Up pops the expected EquationTrekker graphics window. And if I then
right-click somewhere in the xy-plane there, sometimes nothing happens
and sometimes I get a point. (Except for the origin, which is an
equilibrium point, all other trajectories for that system are either
half-lines or hyperbolic arcs.)
Note that the output from evaluating "?EquationTrekker" includes the
following:
"EquationTrekker[eqns,{x,y},{t,Subscript[t, min],Subscript[t, max]}]
opens a graphical interface for specifying initial conditions and
plotting the resulting numerical solution to the system of two first
order ordinary differential equations eqns for the functions x and y"
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305