Consider the double mass spring system shown in the figure below. The positions X1 and X2 of the two masses are given by the system Let m1 = 1, m2 = 1, k1= 9, k2 =8 and k3= 9. If the forcing imparts a force F1 = 8 cos(4t) on the first mass and a force F2 =0 on the second and the masses start from rest (X(0) = x(0) = 0) and at their equilibrium positions (X1(0) = x2(0) = 0), find the resulting motion of the system.