$2 x y$ dx + $x^{2}$ dy = 0

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Solution

Given $2 x y d x + x^{2} d y = 0$
$y d (x^{2}) + x^{2} d y = 0$
$⟹ d (x^{2} y) = 0$
Integrating on both sides
$x^{2} y = C$

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