Question 9: If (1+x)y=ln(1+x), then show that, (1+x²)yn+2+(2n+3)(1+x)Yn+1 + (n + 1)² yn = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 9: If (1+x)y=ln(1+x),
then show that,
(1+x²)yn+2+(2n+3)(1+x)Yn+1 + (n + 1)² y₂ = 0.
n
Transcribed Image Text:Question 9: If (1+x)y=ln(1+x), then show that, (1+x²)yn+2+(2n+3)(1+x)Yn+1 + (n + 1)² y₂ = 0. n
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