The equation of motion of a classical harmonic oscillator subject to an external time-dependent force F(t) is
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The equation of motion of a classical harmonic oscillator subject to an external time-dependent force F(t) is m̈x = −kx + F(t). Show that the oscillator’s energy is not conserved, but that its time dependence dE/dt can be related to the power delivered to the oscillator by the agent supplying the force.
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