Given the general form equation a, = c1 + c2n + c3(3)", find the recurrence relation for an бар-1 — 11а-2 + 6а,-з an = O an = -6an-1 + 11an-2 – 6an-3 O an = 5аm-1 — 7а,-2 + За,-3 an = —5а,-1 + 7ал-2 + За,-з O an = 2ал-1 + За,-2 + аn-3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5
Given the general form equation a, = c1 + c2n + c3(3)", find the recurrence relation
for an
an = 6an-1
11а,-2 + ба,-з
an = -6an-1 + 11a,-2
бап-3
an =
5аn-1 — 7аn-2 + Зап-3
аn 3 —5а,-1 + 7аn-2 + Зап-з
An =
2ал-1 + Зап-2 + ап-3
Transcribed Image Text:Question 5 Given the general form equation a, = c1 + c2n + c3(3)", find the recurrence relation for an an = 6an-1 11а,-2 + ба,-з an = -6an-1 + 11a,-2 бап-3 an = 5аn-1 — 7аn-2 + Зап-3 аn 3 —5а,-1 + 7аn-2 + Зап-з An = 2ал-1 + Зап-2 + ап-3
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