Given the following recurrence relation (M). а, — бал-1 — 12а,-2 + 8а,-з + (n+ 1)2"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Discrete Maths

Given the following recurrence relation (M).
а, — ба,-1 — 12а,-2 + 8ал-3 + (п + 1)2"
Knowing that the solution of the associated homogenous equation is
= a2" + ßn2" + yn²2". Then a particular solution of (M) is given as:
n³(An + B)2"
A2"
the above one
the above one
(An + B)2"
None of these
the above one
An?2"
the above one
Transcribed Image Text:Given the following recurrence relation (M). а, — ба,-1 — 12а,-2 + 8ал-3 + (п + 1)2" Knowing that the solution of the associated homogenous equation is = a2" + ßn2" + yn²2". Then a particular solution of (M) is given as: n³(An + B)2" A2" the above one the above one (An + B)2" None of these the above one An?2" the above one
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