y[n + 2]- y[n +1]+ 0.5y[n] = 4x[n +1]+x[n]
a. Find the system's transfer function
b. Find the system's impulse response
c. Find its unit step response when the ICs are y[-2] = 2 and y[-1] = 1.... Be sure to identify the three parts of the solution: zero-input, transient zero-state, and steady-state zero-state.