## A Java Applet for Studying Ordinary Differential Equations |

- 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

*View
Instructions on using and downloading the Applet*

Marek Rychlik (rychlik@u.arizona.edu)

*Author's Home Page:* http://alamos.math.arizona.edu