A Java Applet for Studying Ordinary Differential Equations
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Applet 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 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

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