Consider the interval [0,30]: y[n+2] - 0.6y[n+1] - 0.16y[n] = 5x[n+2].
a.) Find zero-state response if the input is x[n]= 4^(-n)u[n]
b.) Find zero-state response if the input is x[n]= cos(2npi/6)u[n]
c.) Find impulse response of the system.
d.) Find zero input response to the system with y[-1]=1 and y[-2]=2 using Matlab filtic function.
e.) Find total response using input in part (b.) and initial conditions in part (d.)