Equating coefficients of a" to zero in the following series: E (n² + 1)a,a" +: an +nan = 0 n! n=0 vields:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 4 9:YV
Equating coefficients of a" to zero in the following series:
Σ.
an
+ 1)a,a" +
+na,zn+2
= 0
n!
n=0
yields:
an
(n² + 1)an +
+ nan
n!
%3D
الخيار 2
an-1
(n² + 1)a, +
+(n - 2)an-2 = 0
(n – 1)!
O 1 LJI
an
(n² + 1)an-1+
n!
+ nan-2 = 0
II
<>
Transcribed Image Text:A 4 9:YV Equating coefficients of a" to zero in the following series: Σ. an + 1)a,a" + +na,zn+2 = 0 n! n=0 yields: an (n² + 1)an + + nan n! %3D الخيار 2 an-1 (n² + 1)a, + +(n - 2)an-2 = 0 (n – 1)! O 1 LJI an (n² + 1)an-1+ n! + nan-2 = 0 II <>
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