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Given the Lagrange equation (1-x²)y"- 2xy' + a(a+1)y = 0 Show that x = 0 is an ordinary point. Find two solutions to the Lagrange equation Solution y₁ for α = 0, 2, 4 Solution y₂ for a = 1, 3

Given the Lagrange equation (1-x²)y"- 2xy' + a(a+1)y = 0 Show that x = 0 is an ordinary point. Find two solutions to the Lagrange equation Solution y₁ for α = 0, 2, 4 Solution y₂ for a = 1, 3

Advanced Engineering Mathematics
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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Given the Lagrange equation (1-x²)y''- 2xy' + a(a+1)y = 0 Show that x = 0 is an ordinary point. Find two solutions to the Lagrange equation Solution y₁ for α = 0, 2, 4 Solution y₂ for a = 1, 3
Transcribed Image Text:Given the Lagrange equation (1-x²)y''- 2xy' + a(a+1)y = 0 Show that x = 0 is an ordinary point. Find two solutions to the Lagrange equation Solution y₁ for α = 0, 2, 4 Solution y₂ for a = 1, 3
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