2.826   ODE No. 826

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

$$y^{\prime }(x)=\frac{y(x)(3xy(x{)}^2+3y(x{)}^2+x)}{x(x+1)(6y(x{)}^2+x)}$$ ✓ Mathematica : cpu = 0.621138 (sec), leaf count = 70

$$\{\{y(x)\to -\frac{\sqrt{x}\sqrt{W\left(\frac{6e^{2c_1}x}{(x+1{)}^2}\right)}}{\sqrt{6}}\},\{y(x)\to \frac{\sqrt{x}\sqrt{W\left(\frac{6e^{2c_1}x}{(x+1{)}^2}\right)}}{\sqrt{6}}\}\}$$

✓ Maple : cpu = 0.324 (sec), leaf count = 51

$$\{{({\left(y\left(x\right)\right)}^{-2}+6x^{-1})}^{-1}=\frac{x}{54}({\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(\frac{{(1+x)}^2({\mathrm{e}}^{\mathit{\_}\mathit{Z}}+9)}{2x}\right)+3\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+9)}+9)\}$$