2.781   ODE No. 781

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

$$y^{\prime }(x)=\frac{y(x)(x^4+x^3+3y(x{)}^2+x)}{x(6y(x{)}^2+x)}$$ ✓ Mathematica : cpu = 0.537919 (sec), leaf count = 82

$$\{\{y(x)\to -\frac{\sqrt{x}\sqrt{W\left(6x{e}^{2c_1+\frac{2x^3}{3}+x^2}\right)}}{\sqrt{6}}\},\{y(x)\to \frac{\sqrt{x}\sqrt{W\left(6x{e}^{2c_1+\frac{2x^3}{3}+x^2}\right)}}{\sqrt{6}}\}\}$$

✓ Maple : cpu = 0.247 (sec), leaf count = 61

$$\{{({\left(y\left(x\right)\right)}^{-2}+6x^{-1})}^{-1}=\frac{x}{54}({\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2x^3{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3x^2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-3{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(1/2\frac{{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+9}{x}\right)+9\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+27)}+9)\}$$