Question: Find one solution for each of the difference equations below: (a) (y(n)+2 y(n-1)+y(n-2)=0, y(0)=1) and (y(1)=0) (b) (y(n)+y(n-1)+2 y(n-2)=0, y(-1)=1) and (y(0)=1).

Find one solution for each of the difference equations below:

(a) \(y(n)+2 y(n-1)+y(n-2)=0, y(0)=1\) and \(y(1)=0\)

(b) \(y(n)+y(n-1)+2 y(n-2)=0, y(-1)=1\) and \(y(0)=1\).

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