Let \(y=y(x)\) be the solution of the differential equation \(\frac{dy}{dx}=(y+1)\left((y+1){e}^{{x}^{2}/2}-x\right),0 […

\(\frac{-{e}^{3/2}}{{\left({e}^{2}+1\right)}^{2}}\)

\(-\frac{2{e}^{2}}{{\left(1+{e}^{2}\right)}^{2}}\)

\(\frac{{e}^{5/2}}{{\left(1+{e}^{2}\right)}^{2}}\)

\(\frac{5{e}^{1/2}}{{\left({e}^{2}+1\right)}^{2}}\)