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Consider the mass-spring system described by the initial value problem y + 4y = sint + un/2(t) cost; y(0) = 0, y'(0) = 0.

Consider the mass-spring system described by the initial value problem y" + 4y = sint + un/2(t) cost; y(0) = 0, y'(0) = 0. Find the solution of the initial value problem. Hint: Rewrite cost using a trigonometric identity.

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