(Solved): 5.16. Given the following difference equation with the input-output relationship of a certain init ...

5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all init: conditions are zero), $y(n)?0.6y(n?1)+0.25y(n?2)=x(n)+x(n?1)$ a. find the impulse response sequence $y(n)$ due to the impulse sequence $?(n)$; b. find the output response of the system when the unit step function $u(n)$ is applied.