2.768   ODE No. 768

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

$$y^{\prime }(x)=\frac{y(x)(y(x)+1)}{x(xy(x)-y(x)-1)}$$ ✓ Mathematica : cpu = 1.60318 (sec), leaf count = 66

$$\text{Solve}[\frac{2^{2/3}(xy(x)(-\log \left(\frac{xy(x)}{(x-1)y(x)-1}\right)+\log \left(\frac{y(x)+1}{-xy(x)+y(x)+1}\right)+\log (x)+1)-1)}{9xy(x)}=c_1,y(x)]$$

✓ Maple : cpu = 0.104 (sec), leaf count = 26

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