Determine the response y (n), of the system described by the second-order difference equ...

Determine the response y (n), of the system described by the second-order difference equation

y(n) 4y(n — 1) + 4y(n — 2) = x (n) – x(n — 1)

when the input is

x(n) = (-1)ⁿ u(n)

and the initial conditions are y(-1) = y(-2) = 0.