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

Chapter 11, Problem 7

(choose chapter or problem)

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

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