Problem 2 (12 points) a) Using Impulse Matching Method or Simplified Impulse Matching Method, find unit impulse response for system specified by the following equation (D2 +6D+8)y(t)=(-3D+4)x(t) b) Check whether the following systems are BIBO stable or not? Show your calculations. i) h[n]=e"u[n] il) h(t)=28(0) c) Assume that the following system is controllable and observable. Explain, with reason, whether the LTIC system described by the following equation is: i) stable or unstable in BIBO sense; ii) Asymptotically stable, unstable, or marginally stable. D(D+1)y(t)=(D2 5) x(t)