Solve the following differential equation : (x2−1)dxdy+2x y=(x2−1)2

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Solve the following differential equation : {({x}^{{2}}-{1})}{

Question

Solve the following differential equation : $(x^{2} - 1) \frac{dy}{dx} + 2 x y = \frac{2}{( x ^{2} - 1 )}$

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Solve the following differential equation :

(x^{2} - 1) \frac{dy}{dx} + 2 x y = \frac{2}{( x ^{2} - 1 )}

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Question Text

Solve the following differential equation :

(x^{2} - 1) \frac{dy}{dx} + 2 x y = \frac{2}{( x ^{2} - 1 )}