Question: Problems 9 through 11 deal with the damped pendulum system x' = y, y' = - 2 sinx - cy. Show that if n is

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 nodal sink for the damped pendulum system.

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