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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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    Solution Summary

    Damped pendulum equation is presented.