Question: The following ODE models the motion of a damped pendulum with forcing. y(t) + 5y'(t) +6y(t) = 3 cost, y(0) = 1, y'(0) =

The following ODE models the motion of a damped pendulum with forcing.

The following ODE models the motion of a damped pendulum with forcing. y"(t) + 5y'(t) +6y(t) = 3 cost, y(0) = 1, y'(0) = 0. Find the exact analytical solution y(t) (you may plot results over 0

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