Problems 9 through 11 deal with the damped pendulum system x' = y, y' = - 2

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Problems 9 through 11 deal with the damped pendulum system x' = y, y' = -ω2 sinx - cy.

Show that if n is an even integer and c2 > 4ω2, then the critical point (nπ, 0) is a spiral sink for the damped pendulum system.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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