Calculate the first four terms of the sequences defined by the following difference equations. Hence write down
Question:
Calculate the first four terms of the sequences defined by the following difference equations. Hence write down a formula for Yt in terms of t. Comment on the qualitative behaviour of the solution in each case.
(a) Yt = Yt-1 + 2; Y0 = 0
(b) Yt = −Yt-1 + 6; Y0 = 4
(c) Yt = 0Yt-1 + 3; Y0 = 3
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a Yo0 Y 2 2 x 1 Y 4 3 8 in 2 1 7 6 5 4 3 2 Y4 2 2 Y3 6 2 3 Hence Y 2t and displ...View the full answer
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