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Damped pendulum equation

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For the damped pendulum equation: x"+cx'+kx=0 assume k = 9.
(a) Write down a solution to the equation. When does the solution type change as c varies?
(b) Classify the equilibrium at the origin as a "sink", "source", "spiral sink", "spiral source", "center", or "saddle".

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Damped pendulum equation is presented.

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