Question: First note that y 1 (x) = x is one solution of Legendres equation of order 1, Then use the method of reduction of order

First note that y1(x) = x is one solution of Legendre’s equation of order 1,
(1-x2)y" - 2xy' + 2y = 0.Then use the method of reduction of order to derive the second solution

(1-x2)y" - 2xy' + 2y = 0.

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