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Please show all work. A spring has natural frequency w=2. An external force f(t)=3cos(2t) is applied...

Please show all work.

A spring has natural frequency w=2. An external force f(t)=3cos(2t) is applied to the spring. Its initial displacement is 1 and initial velocity is 2. Find the displacement of the spring y(t) at any time t. What happens to the spring in the long run?

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