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Consider the following homogeneous difference equation: 3': = 060 + alytl (a) Iterating backwards, show how y; can be written in terms of Yt-Z- (b)

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Consider the following homogeneous difference equation: 3': = 060 + alytl (a) Iterating backwards, show how y; can be written in terms of Yt-Z- (b) Now, show how y; can be written in terms of Yt-3 and yt-4, respectively. for ygin terms of yo. ((1) One of your colleagues obtained a different solution using a different method: yt :ao /(10:1)+0:1'[y0 0:0/(1a1)] Demonstrate algebraically that the two solutions are identical, if I a1 |

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