The differential equation for a second-order system that has undergone a unit step change is as follows. d2x(t)dx(t)+6x=2a(t)5dtdt2 a. Find the time constant and the damping ratio of the transfer function of this system (x(0)=x(0)=0). b. Show by drawing a graph how a damping will occur. c. Interpret the effect of roots on stability by showing them on the complex plane. The differential equation for a second-order system that has undergone a unit step change is as follows. d2x(t)dx(t)+6x=2a(t)5dtdt2 a. Find the time constant and the damping ratio of the transfer function of this system (x(0)=x(0)=0). b. Show by drawing a graph how a damping will occur. c. Interpret the effect of roots on stability by showing them on the complex plane