21. Let's work backwards. The quadratic (r-3) (r+2)=r²-r-6 h recurrence relation giving an. (a) an = 3an-1-2an-2 (b) an-2an-1 +3an-2 (c) anan-1 +6an-2 (d) an-an-1-6an-2 (e) None of these
21. Let's work backwards. The quadratic (r-3) (r+2)=r²-r-6 h recurrence relation giving an. (a) an = 3an-1-2an-2 (b) an-2an-1 +3an-2 (c) anan-1 +6an-2 (d) an-an-1-6an-2 (e) None of these
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

Transcribed Image Text:21. Let's work backwards. The quadratic (r−3)(r+2)=r² −r−6 has roots r₁ = 3 and r₁ = −2. Give the
recurrence relation giving an.
(a) an = 3an-12an-2
(b) an = -2an-1 +3an-2
(c) an = an−1+6ªn−2
(d) an = −an-1 — бªn-2
(e) None of these
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