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A damped oscillator with mass m, damping constant ?, and

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A damped oscillator with mass m, damping constant ?, and spring constant k is subjected to an external force F(t) = F0t

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A damped oscillator with mass m, damping constant ?, and spring constant k is subjected to an external force F(t) = F0t over the time interval 0 ? t ? T. The external force is then removed at time T. Find the Laplace transform of the displacement y(t) of the mass, assuming that the oscillator is initially in the equilibrium state.

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