3. Determine the unit-pulse response for the system described by the following equation. Assume output is initially zero.

y[n+1]+y[n]=x[n]

a. Determine y[n] and use recursion to compute the first five values of the response.
y[n]=
h[0]=
h[1]=
h[2]=
h[3]=
h[4]=
​
b. Analyze the pattern of the unit-pulse response in (a) and determine the complete compact solution.
h[n]=