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When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m,...

When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 80e−4t cos 4t is applied to the system. Find the equation of motion in the absence of damping.

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