Solve each difference equation given below for n≥0 for the specified input signal and subject to the given initial
conditions.
(a) y[n] - 1.7y[n - 1] + 0.72y[n - 2]=0, where y[-1] = 1 and y[-2]=2.
(b) y[n] - 1.6y[n - 1] + y[n - 2]=0, where y[-1] = 0 and y[-2]=3.
(c) y[n] = 0.8y[n - 1] + x[n], where x[n] = 2sin(0.2n) and y[-1]=1.
(d) y[n] + 1.6y[n - 1] + 0.64y[n - 2] = x[n], where x[n] = u[n], y[-1] = 0, and y[-2] = 1.