Determine the impulse response h[n] of a LTI system represented by the difference equation y[n] = ?0.5y[n

Question:

Determine the impulse response h[n] of a LTI system represented by the difference equation y[n] = ?0.5y[n ? 1] + x[n], where x[n] is the input, y[n] is the output, and the initial conditions are zero. Find two different ways to compute the output y[n] when the input is