3.811   ODE No. 811

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{x^3{\mathrm{e}}^{y\left(x\right)}+x^4+{\mathrm{e}}^{y\left(x\right)}y\left(x\right)-{\mathrm{e}}^{y\left(x\right)}\ln ({\mathrm{e}}^{y\left(x\right)}+x)+xy\left(x\right)-\ln ({\mathrm{e}}^{y\left(x\right)}+x)x+x}{x^2}=0}}$$

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

Mathematica: cpu = 2.217281 (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 = 1.544 (sec), leaf count = 32 $$\{y\left(x\right)=\frac{x^3}{2}+x\mathit{\_}\mathit{C}\mathit{1}+\ln (-x{(-1+{\mathrm{e}}^{\frac{x^3}{2}}{\mathrm{e}}^{x\mathit{\_}\mathit{C}\mathit{1}})}^{-1})\}$$