ODE No. 700

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

$$y^{\prime }(x)=\frac{1}{xy(x)(xy(x{)}^2+x+1)}$$ ✓ Mathematica : cpu = 0.0715526 (sec), leaf count = 76

$$\{\{y(x)\to -\frac{\sqrt{2xW\left(c_1{e}^{\frac{1}{2x}-\frac{1}{2}}\right)+x-1}}{\sqrt{x}}\},\{y(x)\to \frac{\sqrt{2xW\left(c_1{e}^{\frac{1}{2x}-\frac{1}{2}}\right)+x-1}}{\sqrt{x}}\}\}$$ ✓ Maple : cpu = 0.126 (sec), leaf count = 62

$$\{y\left(x\right)=\frac{1}{x}\sqrt{x(2\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(1/2\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-1/2\frac{x-1}{x}}\right)x+x-1)},y\left(x\right)=-\frac{1}{x}\sqrt{x(2\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(1/2\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-1/2\frac{x-1}{x}}\right)x+x-1)}\}$$