A Java Applet for Studying Ordinary Differential Equations
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 a sunami
The two-body 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
- Jason Miller's tutorial on using the Applet
Instructions on using and downloading the Applet
Marek Rychlik (email@example.com)
Author's Home Page: http://alamos.math.arizona.edu