The output y[n] of a system described by the following difference equation with input x[n] and initial conditions as specified.
y[n]+1/4y[n−1]−1/8y[n−2]=x[n]
+x[n−1],
y[−1]=4,y[−2]=−2,x[n]=(−1)ⁿu[n]
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(a) Draw direct form I implementation
(b) Draw direct form II implementation
(c) Solve the output y[n] in terms of natural and forced responses (you should specifiy the natural and forced responses.)