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The Duffing Equation with Mathematica
Author

Gustavo Perez
Organization: Honduras National University
Department: Physics
Revision date

2010-05-04
Description

We use Mathematica to find the analytical solutions of the Duffing problem without friction. With the numerical capabilities of Mathematica, we check our solutions.

The analytical solutions are Jacobi Elliptic functions. Mathematica could be used to bring students to use Jacobi Elliptic functions without effort.
Subject

*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Duffing, Jacobi Elliptic functions, Duffing Analytic Solutions, Duffing Numerical Solutions, Duffing without friction
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Dufffing.nb (292.3 KB) - Mathematica Notebook