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$Solution of the differential equation (x + 2 y^{3}) \frac{d y}{d x} = y is$

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x=yc+y2

x=yc−y2

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detailed solution

Correct option is A

x+2y3=y⋅dxdy ⇒dxdy−1yx=2y2 I.F. =e∫p⋅dy=1y solution is x⋅1y=2y2⋅1ydy=y2+c

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Solution of the differential equation x+2y3dydx=y is

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$Solution of the differential equation (x + 2 y^{3}) \frac{d y}{d x} = y is$