Show the Matlab code for the following problem

(4) Consider the system described by the following difference equation: y(n) = 1.77y(n 1) 0.81y(n 2) + x(n) 0.5x(n 1). (a) Assuming a unit-step input, and using a long enough section of the input so that a constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called Go. Note: Go = y(n) for n . (b) Determine and plot the transient response given by: yt(n) = y(n) Go. (c) Find the energy of the transient response signal. (d) After how many samples does the output reach steady-state? Write a Matlab pro- gram to determine the beginning of the steady-state (end of the transient) period