Consider a system whose input x[n] and output y[n] are related by (a) Determine...

Consider a system whose input x[n] and output y[n] are related by

(a) Determine the zero-input response of this system if y[-1] = 2

(b) Determine the zero-state response of the system to the input .

(c) Determine the output of the system for n ≥ 0 when and y[-1] = 2.