(i) Solve the recurrence relation a,= 12a,_,-36a, _, for n 22 with theinn-1n-2initial conditions a, = 1, a, = 18(ii) Verify whether the sequence a,=4"+5 is a solution of the recurrencerelation a, = 5a,-1-4a,-2 or not. Justify your answer.|

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Answered: (i) Solve the recurrence relation a,=…

(i) Solve the recurrence relation a,= 12a,_,-36a,_, for n22 with for n 22 with %D n-2 initial conditions a, = 1, a, = 18 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(i) Solve the recurrence relation a,= 12a,_,-36a, _, for n 22 with the
in
n-1
n-2
initial conditions a, = 1, a, = 18
(ii) Verify whether the sequence a,=4"+5 is a solution of the recurrence
relation a, = 5a,-1-4a,-2 or not. Justify your answer.
|

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