The solution of the differential equation $y d x + (x + x^{2} y) d y = 0$ is?

l o g y = C x

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- \frac{1}{x y} + l o g y = C

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\frac{1}{x y} + l o g y = C

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- \frac{1}{x y} = C

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Solution

The correct option is B $- \frac{1}{x y} + l o g y = C$

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y^{2} d x + (x^{2} - x y + y^{2}) d y = 0

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[EAMCET 2003]

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