Find two different state-variable formulations that model the system whose difference equation is given by:

(a) \(y(k+2)+6 y(k+1)+5 y(k)=2 e(k)\)

(b) \(y(k+2)+6 y(k+1)+5 y(k)=e(k+1)+2 e(k)\)

(c) \(y(k+2)+6 y(k+1)+5 y(k)=3 e(k+2)+e(k+1)+2 e(k)\)