Find the first three numerical values, starting at time n = 0, of the impulse response of the discrete-time system described by the difference equation

9y[n] 3y[n 1] + 2y[n 2] = x[n].

Find the impulse responses of the systems described by these equations.

(a) y[n] = x[n] x[n 1]

(b) 25y[n] + 6y[n 1] + y[n 2] = x[n]

(c) 4y[n] 5y[n 1] + y[n 2] = x[n]

(d) 2y[n] + 6y[n 2] = x[n] x[n 2]