## A Java Applet for Studying Ordinary Differential Equations |

*Instructions on using and downloading the Applet*

- Slope fields and solutions of equations of the form y'=f(x,y)
- same as above, but using variables y'=f(t,y) instead
- Direction fields and solutions of equations of systems of equations of form x'=f(x,y), y'=g(x,y)
- 3D systems x'=f(x,y,z), y'=g(x,y,z), z'=h(x,y,z)
- 4D systems x'=f(x,y,z,w), y'=g(x,y,z,w), z'=h(x,y,z,w), w'=k(x,y,z,w)
- 2D,3D,4D,5D,6D,7D,8D systems with choice of names of dependent variables (and choice of window size)
- y=y(x) Solution Verifier for comparing numerical solutions to exact and approximate formulas
- x=x(t), y=y(t) Solution Verifier for systems of 2 equations

- Population Dynamics: Elks, Coyotes and Wolves in Yellowstone Park
- Circuit
- Simple Model of Sunami
- Two-Body Problem
- Limit cycle for the Van der Pol equation (another version one here)
- Hodgin-Huxley equations (includes a student assignment)
- Chemostat (includes a student assignment)
- Species competition (includes a student assignment)
- Gardner/Cantor/Collins Synthetic E.Coli Toggle Switch equations (includes a student assignment)

- Jason Miller's tutorial on using the Applet