Please explain how the recurrence relation simplify.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please explain how the recurrence relation simplify. 

n=0
Equate the coefficients to zero, we have
(2(n + c)(n+c+1) + (n +c+ 1)) an+1 + (n+c+
(2(n+c) + 1) an+1 = −an
an
2n+2c + 1
Eegunjobi A S
an+1
=
Power series solutions
From our indicial solutions, when c =
0, then
an = 0
an
October 11, 2022
3
62
Transcribed Image Text:n=0 Equate the coefficients to zero, we have (2(n + c)(n+c+1) + (n +c+ 1)) an+1 + (n+c+ (2(n+c) + 1) an+1 = −an an 2n+2c + 1 Eegunjobi A S an+1 = Power series solutions From our indicial solutions, when c = 0, then an = 0 an October 11, 2022 3 62
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