Abstract

In this work we solve the simple pendulum nonlinear second order differential equation with nonhomogeneous initial conditions, obtaining a closed-form solution in terms of the Jacobi elliptic functions, and of the incomplete elliptic integral of the first kind. Such a modeling problem can be used to introduce concepts like elliptic integrals and functions to advanced undergraduate students.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 3
Year: 2017

DOI: 10.12732/ijam.v30i3.5

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