If y1 and y2 two solutions of (1 – a²)y" – 2xy' + n(n+1)y = 0; -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If y1 and y2 two solutions of
(1 – a²)y" – 2xy' + n(n +1)y = 0;
- 1< x < 1
Show that
W (y1, Y2) :
1– x2'
where n and c are constants. [Hint: W = ce-Jla1 (2)/a2(x)] da1.
Transcribed Image Text:If y1 and y2 two solutions of (1 – a²)y" – 2xy' + n(n +1)y = 0; - 1< x < 1 Show that W (y1, Y2) : 1– x2' where n and c are constants. [Hint: W = ce-Jla1 (2)/a2(x)] da1.
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