2.728   ODE No. 728

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

$$y^{\prime }(x)=\frac{y(x)(x^3+3y(x{)}^2)}{x(6y(x{)}^2+x)}$$ ✓ Mathematica : cpu = 0.350053 (sec), leaf count = 72

$$\{\{y(x)\to -\frac{\sqrt{x}\sqrt{W\left(\frac{6e^{x^2+2c_1}}{x}\right)}}{\sqrt{6}}\},\{y(x)\to \frac{\sqrt{x}\sqrt{W\left(\frac{6e^{x^2+2c_1}}{x}\right)}}{\sqrt{6}}\}\}$$ ✓ Maple : cpu = 1.191 (sec), leaf count = 50

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