1. The problem statement, all variables and given/known data A force Fext(t) = F0[ 1−e(−αt) ] acts, for time t > 0, on an oscillator which is at rest at x=0 at time 0. The mass is m; the spring constant is k; and the damping force is −b x′. The parameters satisfy these relations: b = m q , k = 4 m q2 where q is a constant with units of inverse time. Find the motion. Determine x(t); and hand in a qualitatively correct graph of x(t). (B) Determine the final position. 2. Relevant equations Green's Function: x(t) = ∫-∞tF(t')G(t,t')dt' where: G(t,t') = (1/(m*ω1))*e-β(t-t')*sinω1(t-t') for t≥t' = 0 for t<t' 3. The attempt at a solution I have solved using green's function to obtain this mess: (F0/m)*(e-βt/(β2+ω12))*((β/ω1)*sinω1t - cosω1t) - (F0/m)/((α-β)2+ω12)*[e-αt-e-βt*(cosω1t-((α-β)/ω1)sinω1t)] From here, however, I am unsure of how to find the final position without the final time.