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A Java Applet for Studying Ordinary Differential Equations
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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)
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An example from population dynamics - Elks, Coyotes and Wolves in Yellowstone Park
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An example of a circuit
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A simply model of sunami
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The two-body problem
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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.
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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
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