a) an+11 - an = 3n, n≥ 0, ao = 1 b) an+1 - an = n², n≥ 0, ao = 1 d) an+2 - c) an+2 3an+1 +2an = 2an+1+an2n, = 0. n≥ 0, ao = a1 = 6 n ≥ 0, ao = 1, a1 = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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12. Solve the following recurrence relations by the method of generating functions.

 

a) an+11
-
an = 3n,
n≥ 0,
ao = 1
b) an+1
-
an = n²,
n≥ 0,
ao
= 1
d) an+2
-
c) an+2
3an+1 +2an
=
2an+1+an2n,
=
0.
n≥ 0,
ao =
a1 = 6
n ≥ 0,
ao = 1,
a1 = 2
Transcribed Image Text:a) an+11 - an = 3n, n≥ 0, ao = 1 b) an+1 - an = n², n≥ 0, ao = 1 d) an+2 - c) an+2 3an+1 +2an = 2an+1+an2n, = 0. n≥ 0, ao = a1 = 6 n ≥ 0, ao = 1, a1 = 2
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