PHIL 311 Chapter 6: Pages 305-308

Question 10-9, part a, Griffiths Intro to Quantum Mechanics: A 1-D harmonic oscillator is subject to a driving force F(t)=m(w^2)f(t), where f(t) has units of length and f(t)=0 for all t<=0. Referring to xc as the classical position of the oscillator, and given xc (0) = d xc /dt(0) = 0, how do you arrive at the solution xc = w * Integral from 0 to t of f(t')sin[w(t-t')] ?