Consider the following system for Parts a-c. uO6 SI 1 -6 5 13 itsup3 @ts12 tonA A Bulli bas beoubou sw noit of wod bdnos 11 -6 S 15 Problem 4a (7 points): Find the differential equation of the system. x3 y Problem 4b (13 points): Find the state-space representation of the system. Problem 6 (10 pts total): Find the damping ratio, natural frequency, peak time, % overshoot, and settling time for a system with the following pole plot. jw X j7=jo for -3=-0d X s-plane -j7=-jwa