Find the particular solution of the differential equation $(1 - y^{2}) (1 + lo g x) d x + 2 x y d y = 0,$ given that $y = 0$ when $x = 1 .$

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Find the particular solution of the differential equation

(1 - y^{2}) (1 + lo g x) d x + 2 x y d y = 0,

given that

y = 0

when

x = 1 .

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Question Text

Find the particular solution of the differential equation

(1 - y^{2}) (1 + lo g x) d x + 2 x y d y = 0,

given that

y = 0

when

x = 1 .

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