The solution of \( x^{2} d y-y^{2} d x+x y^{2}(x-y) d y=0 \) is (a) \( y=x+c x y e^{y^{2} / 2} \...

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The solution of \( x^{2} d y-y^{2} d x+x y^{2}(x-y) d y=0 \) is
(a) \( y=x+c x y e^{y^{2} / 2} \)
(b) \( y=x+c x y e^{x^{2} / 2} \)
(c) \( y=x+c x y e^{-y^{2} / 2} \)
(d) \( y=x+c x y e^{-x^{2} / 2} \)
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