0. ₁₁ P₁₁ (x) dx =2"+1 (n!)² (2n + 1)! 111 < 11. m = n ne Z

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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Prove that:
0,
L. x"P₁₁ (x) dx = {2"+¹ (n!)²
(2n + 1)!
m <n, ne Z
m = n
Transcribed Image Text:Prove that: 0, L. x"P₁₁ (x) dx = {2"+¹ (n!)² (2n + 1)! m <n, ne Z m = n
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