The following differential equation provides a simple model of a suspension system. The constant m gives the mass of moving parts, the constant k relates to stiffness of the suspension system and the constant c is a measure of the damping in the system. F is a constant force appliced at 1=0. m + cx + kx = F Given that m = 1, k= 4, F=1 and both x=0 and dx/dt = 0 whent-lo, determine the responses, x(t) for t -0 to 8 and plot x(t) for each case in one graph. Remember to label each curve. 1. c=0 2. e=/mk 3. c=4 mk