2.818   ODE No. 818

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

$$y^{\prime }(x)=\frac{y(x)}{x(xy(x{)}^4+xy(x{)}^3+xy(x)-1)}$$ ✓ Mathematica : cpu = 0.18406 (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 = 0.244 (sec), leaf count = 34

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