Question

5. Consider the LTI system defined by the differential equation (a) Draw the pole-zero plot for the system. Is the system stable? (5 points) (b) Find the system’s impulse response h(t). (5 points) (c) Find the system’s output if the input signal is x(t) = cos(2t). (5 points) (d) Find the system’s output if the input is x(t) = e-t u(t). (10 points)

Answer 1

Detailed solution is attached in the images below showing step wise solution and answer for each part individually.