(Solved): Consider the difference equation y[n]65y[n1]+61y[n2]=31x[n1]. (a) What are the ...

Consider the difference equation $y[n]?\frac{5}{6}y[n?1]+\frac{1}{6}y[n?2]=\frac{1}{3}x[n?1].$ (a) What are the impulse response, frequency response, and step response for the causal LTI system satisfying this difference equation? (b) What is the general form of the homogeneous solution of the difference equation? (c) Consider a different system satisfying the difference equation that is neither causal nor LTI, but that has $y[0]=y[1]=1$. Find the response of this system to $x[n]=?[n]$.