Problem 3.13 (Part c is optional, but it is worth solving manually or by using Simulink) (The dynamic model between ...) 3.13 The dynamic model between an output variable y and an input variable u can be expressed by dt2d2y(t)+3dtdy(t)+y(t)=4dtdu(t2)u(t2) (a) Does this system exhibit an oscillatory response after an arbitrary change in u ? (b) What is the steady-state value of y when u(t2)=1 ? (c) For a step change in u of magnitude 1.5, what is y(t)