2.811   ODE No. 811

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{x^3{e}^{y(x)}+x^4+xy(x)+e^{y(x)}y(x)-x\log (e^{y(x)}+x)-e^{y(x)}\log (e^{y(x)}+x)+x}{x^2}$$ ✓ Mathematica : cpu = 1.74983 (sec), leaf count = 33

$$\left\{\{y(x)\to -\log (-\frac{1}{x}+\frac{e^{-\frac{x^3}{2}-c_{1}x}}{x})\}\right\}$$ ✓ Maple : cpu = 2.413 (sec), leaf count = 32

$$\{y\left(x\right)=\frac{x^3}{2}+\mathit{\_}\mathit{C}\mathit{1}x+\ln (-x{(-1+{\mathrm{e}}^{\frac{x^3}{2}}{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}x})}^{-1})\}$$