Method of Separable Variables Q7

Method of Separable Variables Q7

Find the general solution of the differential equation \(\frac{\mathrm{d}y}{\mathrm{d}x}+2x^{3}(y+2)=0\),
expressing \(y\) in terms of \(x\).

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Answer:\(y=Ae^{-x^4/2}-2,\quad A\in\mathbb{R}\)

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