Find a set of state equations for each of the systems described by the following difference equations:
(a) y[n + 1] – 0.8y[n] = 1.9u[n]
(b) y[n] + 0.8y[n – 2] = u[n – 2]
(c) y[n] – 1.75y[n – 1] + 0.72y[n – 2] = 2u[n – 2]
(d) 5y[n + 2] – 8y[n + 1] + 4y[n] = 6u[n]
(e) y1[n + 2] – 1.7y1[n + 1] + 0.72y1[n] – 2y2[n] = 4u1[n] – u2[n]
y2[n + 1] – 0.85y2[n] + 3y1[n] = 2u1[n] + 3u2[n]
(f) y1[n + 2] – 1.92y1[n] + 0.94y2[n] = u1[n] – 2u2[n]
y2[n + 2] – 1.82y2[n + 1] + 0.91y2[n] – 1.7y1[n] = 3u1[n] + 2u2[n]
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