3.823   ODE No. 823

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

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

Mathematica: cpu = 0.383049 (sec), leaf count = 39 $$\text{Solve}[\frac{y(x{)}^3}{3}+\frac{y(x{)}^2}{2}+\log (y(x))-\frac{y(x)\log (x)+x}{y(x)}=c_1,y(x)]$$

Maple: cpu = 0.109 (sec), leaf count = 38 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4-3{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3+6\ln \left(x\right){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+6\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-6\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+6x)}\}$$