

A Java Applet for Studying Ordinary Differential Equations

Applet Tasks
The following pages set up the JOde Applet to perform the following tasks
 Slope fields and solutions of
equations of the form y'=f(x,y)
 Direction fields and solutions of
equations of systems of equations of form x'=f(x,y), y'=g(x,y)
 Solutions of equations of
systems of equations of form x'=f(x,y,z), y'=g(x,y,z), z'=h(x,y,z)

An example from population dynamics  Elks, Coyotes and Wolves in Yellowstone Park

An example of a circuit

A simply model of sunami

The twobody problem

A solution verifier which can be used to compare numerical solutions to exact and approximate formulas.
In particular, can be used to test series solutions.

A solution verifier for systems of 2 equations.
 Limit cycle for the Van der Pol equation
Contributions
 Jason Miller's tutorial on using the Applet
View
Instructions on using and downloading the Applet
Marek Rychlik (rychlik@u.arizona.edu)
Author's Home Page: http://alamos.math.arizona.edu
