The solution of \( \left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)\left(x^{2} y^{3}+x y\right)=1...

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The solution of \( \left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)\left(x^{2} y^{3}+x y\right)=1 \) is
(a) \( 1 / x=2-y^{2}+C e^{-y^{2} / 2} \)
(b) the solution of an equation which is reducible to linear equation.
(c) \( 2 / x=1-y^{2}+e^{-y / 2} \)
(d) \( \frac{1-2 x}{x}=-y^{2}+C e^{-y^{2}} / 2 \)
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