In: Electrical Engineering
For each of the following difference equations
(i) y[n + 1] + 1.5y[n] = x[n]
(ii) y[n + 1] + 0.8y[n] = x[n]
(iii) y[n + 1] - 0.8y[n] = x[n]
For the difference equations given in Problem 2.16:
(a) Find a closed-form solution for y[n] when x[ n] = 0 for all n and y[0] 2.
(b) Find a closed-form solution for y[n] when x[n] = u[n] and y[ 0] = 0.
(c) Find a closed-form solution for y[n] when x[n] = u[n] and y[0] = 2.