3.818   ODE No. 818

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)}{x(-1+xy\left(x\right)+x{\left(y\left(x\right)\right)}^3+x{\left(y\left(x\right)\right)}^4)}=0}}$$

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

Mathematica: cpu = 0.047006 (sec), leaf count = 34 $$\text{Solve}[\frac{y(x{)}^3}{3}+\frac{y(x{)}^2}{2}+\frac{1}{xy(x)}+\log (y(x))=c_1,y(x)]$$

Maple: cpu = 0.109 (sec), leaf count = 34 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4-3x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3+6\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}x-6{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{Z}x-6)}\}$$