2.808   ODE No. 808

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

$$y^{\prime }(x)=\frac{(y(x)+1)(2y(x)+1)}{x(2xy(x)-2y(x)+x-2)}$$ ✓ Mathematica : cpu = 2.31121 (sec), leaf count = 149

$$\text{Solve}[\frac{2^{2/3}(x\log (-\frac{62^{2/3}(y(x)+1)}{2(x-1)y(x)+x-2})-x\log \left(\frac{32^{2/3}(2xy(x)+x)}{2(x-1)y(x)+x-2}\right)+2xy(x)(\log (-\frac{62^{2/3}(y(x)+1)}{2(x-1)y(x)+x-2})-\log \left(\frac{32^{2/3}(2xy(x)+x)}{2(x-1)y(x)+x-2}\right)+\log (x)+1)+x+x\log (x)-1)}{9(2xy(x)+x)}=c_1,y(x)]$$

✓ Maple : cpu = 0.102 (sec), leaf count = 45

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