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Show that d2Y d2 + cot dY d + ( + 1)Y = 0, 0 < < , is transformed into Legendres

Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode ISBN: 9780321964670 380

Solution for problem 7 Chapter 11.3

Differential Equations | 4th Edition

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Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode

Differential Equations | 4th Edition

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Problem 7

Show that d2Y d2 + cot dY d + ( + 1)Y = 0, 0 < < , is transformed into Legendres equation by the change of variables x = cos .

Step-by-Step Solution:
Step 1 of 3

+ . .--:i,''. I-'rL,'-:rr.r.; Ta ,-\_ftrr, .t ! t'i.r,1r-'i.i'4 ).',t *,.-,1t,,.{;l,r ^tj.,l ,. n f- \z\, ],1') bu rl \ I , s\unon,ts;...

Step 2 of 3

Chapter 11.3, Problem 7 is Solved
Step 3 of 3

Textbook: Differential Equations
Edition: 4
Author: Stephen W. Goode
ISBN: 9780321964670

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Show that d2Y d2 + cot dY d + ( + 1)Y = 0, 0 < < , is transformed into Legendres