Let 4x)= - 2/17/ulxl, /WIKI 1 n(n-2) α(n) (x "-2, n23 Prove a) [ 14(x)lds, ƏB(0,E) b) 14 (1) dy 'B(0, E) n=2 Cε||nε] n=2 CE, n> 3 Cε²//nεl, n=² Cε ², n>3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Let (1x).
Prove a)
-
by S
2/17 lu1x1,
1
[ 14(x)lds,
ƏB(0, E)
B(0, E)
n(n-²) α(n)(x^²², n ≥ 3.
14(4)|dy
n=2
cε||ne| n=2
CE
n>3
CE||ne|
Cε²//nεl, n=2
n>3.
2
Cε ²,
СЕ
Transcribed Image Text:1. Let (1x). Prove a) - by S 2/17 lu1x1, 1 [ 14(x)lds, ƏB(0, E) B(0, E) n(n-²) α(n)(x^²², n ≥ 3. 14(4)|dy n=2 cε||ne| n=2 CE n>3 CE||ne| Cε²//nεl, n=2 n>3. 2 Cε ², СЕ
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