3.830   ODE No. 830

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

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

Mathematica: cpu = 0.433555 (sec), leaf count = 37 $$\text{Solve}[-\frac{1}{3}y(x{)}^3-\frac{y(x{)}^2}{2}-\frac{x}{y(x)}-\log (y(x))+\log (x)=c_1,y(x)]$$

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