2.830   ODE No. 830

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

$$y^{\prime }(x)=\frac{(x-y(x))y(x)}{x(-y(x{)}^4-y(x{)}^3-y(x)+x)}$$ ✓ Mathematica : cpu = 0.443519 (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 = 0.373 (sec), leaf count = 38

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4+3{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-6{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(x\right)+6{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}+6\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+6x)}\}$$