Can there be beats when a damping force is added to the model in part (a) of

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Can there be beats when a damping force is added to the model in part (a) of Problem 39? Defend your position with graphs obtained either from the explicit solution of the problem

d?x + 2 dr? dx + w?x = Focos yt, x(0) = 0, x'(0) = 0 dt %3D


or from solution curves obtained using a numerical solver.


Problem 39

(a) Show that the solution of the initial-value problem


(b) Evaluate

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