2.811   ODE No. 811

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

$$y^{\prime }(x)=\frac{x^4+x^3{e}^{y(x)}+xy(x)+e^{y(x)}y(x)-x\log (e^{y(x)}+x)-e^{y(x)}\log (e^{y(x)}+x)+x}{x^2}$$ ✓ Mathematica : cpu = 2.27775 (sec), leaf count = 33

$$\left\{\{y(x)\to -\log (\frac{e^{-c_{1}x-\frac{x^3}{2}}}{x}-\frac{1}{x})\}\right\}$$

✓ Maple : cpu = 2.292 (sec), leaf count = 32

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