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One end of a spring of constant k = 9 N/s is fixed, and a mass of m = 1
kg is attached to its other end. Initially the spring is at rest in
equilibrium with zero displacement. If an external periodic force of
F(1) = 80 cos5t N acts on this system, and the spring is set for vertical
vibrations, described the initial value problem mathematically, and
then find the subsequent displacement of the spring,

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