An external force F(t) = 2 cos 2t is applied to a mass–spring system with m = 1, b = 0, and k = 4, which is initially at rest; i.e.,y(0) = 0, y’(0) = 0. Verify that y(t) = 1/2t sin 2t gives the motion of this spring. What will eventually (as t increases) happen to the spring?
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