κα Σ (20 + 1) sin2 δι l=0 = = κα κα Elsin de + Σ ( + 1) sin? δι l=0 l=0 ka 1 Σε (sin? δε + sin? Se=1) ~ ka 2 h?a? l=1

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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P3
Verify the following equation
ka
ka
ka
Σ (2l + 1) sin² d = Σl sin² de + Σ (l+ 1) sin² de
de
l=0
l=0
l=0
ka
1
Σe (sin² de + sin² de-1) ~ —-k²a².
е
2
l=1
=
Transcribed Image Text:Verify the following equation ka ka ka Σ (2l + 1) sin² d = Σl sin² de + Σ (l+ 1) sin² de de l=0 l=0 l=0 ka 1 Σe (sin² de + sin² de-1) ~ —-k²a². е 2 l=1 =
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