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The general solution for Legendre equation (4 – x2)y" – 2xy' + n(n + 1)y = 0 is %3| -

The general solution for Legendre equation (4 – x2)y" – 2xy' + n(n + 1)y = 0 is %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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The general solution for Legendre equation (4 – x2 )y" – 2xy' + n(n + 1)y = 0 is | O y(x) = c141 (æ² /2) + c2Y2 (x2 /2) O y(x) = c1Y1 (2²) + c2y2(2a²) O y(x) = c1y1 (2x) + c2Y2(2x) O y(x) = c1Y1 (æ/2) + c2Y2(x/2) none
Transcribed Image Text:The general solution for Legendre equation (4 – x2 )y" – 2xy' + n(n + 1)y = 0 is | O y(x) = c141 (æ² /2) + c2Y2 (x2 /2) O y(x) = c1Y1 (2²) + c2y2(2a²) O y(x) = c1y1 (2x) + c2Y2(2x) O y(x) = c1Y1 (æ/2) + c2Y2(x/2) none
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