Concept explainers
A generalization of the damped pendulum equation discussed in the text, or a damped spring-mass system, is the Lienard equation
If
(a) Write the Lienard equation as a system of two first order equations by introducing the variable
(b) Show that
(c) Show that if
Hint: Use Taylor series to approximate
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Check out a sample textbook solutionChapter 7 Solutions
Differential Equations: An Introduction to Modern Methods and Applications
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