The solution of the differential equation $x^{2} d y = - 2 x y d x$ is

x y^{2} = c

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x^{2} y^{2} = c

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x^{2} y = c

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x y = c

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Solution

The correct option is D $x y^{2} = c$
$x^{2} d y = - 2 x y d x$
$x d y = - 2 y d x$
$x d y + 2 y d x = 0$
$\int d (x y^{2}) = \int 0$
$x y^{2} = C$

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