A causal discrete-time LTI system is described by y [n] - iY [n -1] + y [n - 2] =x [n] where x[n] and y[n] are the input and output of the system, respectively.
(a) Determine the system function H(z).
(b) Find the impulse response h[n] of the system.
(c) Find the step response s[n] of the system.