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$The solution of the differential equation y (1 + 3 x^{2} y e^{x^{3}}) d x = x d y is$

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xy=ex3+c

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yx+ex3=c

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detailed solution

Correct option is C

ydx−xdyy2+3x2ex3dx=0⇒dxy+dex3=0; Integrating on both sides ⇒xy+ex3=c

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The solution of the differential equation y1+3x2yex3dx=xdy is

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$The solution of the differential equation y (1 + 3 x^{2} y e^{x^{3}}) d x = x d y is$