3. A LTI system is characterized by the follow differential equation: d²y(t) dy(t) dt² +5. +6y(t) = 2 dt df(t) dt +3f(t) (a) Find the transfer function of the system H(s) and the frequency response function H(jo). (b) Is the system asymptotically stable, marginally stable or unstable? Why? (c) Fine the unit impulse response of the system h(t). (d) Find the zero-input response of the system given y(0) = −1 and 4 |-0- = 2. (e) Assume that the following input signal is applied to the system: f(t) = e tu(t). Find the system's total response assuming that y(0) = =-1 and -= 2. It=0- (f) Find the system's zero state response to input signal f(t) = 3cos(t + 30°). (g) The signal obtained in (f) is subsequently fed into another LTI system with unit impulse response 2 h(t): == sinc(2t) π Find the corresponding output signal.