Classical Dynamics of Particles and Systems · Problem 3-38

Nonlinear Oscillations and Chaos — Marion & Thornton

Physics — Mechanics · greens-method-exponential-forcing

Problem

Use Green's method to obtain the response of a damped oscillator to a forcing function of the form

F(t) = \begin{cases} 0 & t < 0 \\ F_0 e^{-\gamma t}\sin\omega t & t > 0 \end{cases}