2.828   ODE No. 828

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

$$y^{\prime }(x)=\frac{(y(x)+1)(2y(x)+1)}{x(2xy(x{)}^4+xy(x{)}^3-2y(x)-2)}$$ ✓ Mathematica : cpu = 0.384254 (sec), leaf count = 46

$$\text{Solve}[\frac{1}{16}(-2y(x{)}^2+6y(x)-\frac{8}{2xy(x)+x}-8\log (y(x)+1)+\log (2y(x)+1))=c_1,y(x)]$$

✓ Maple : cpu = 0.353 (sec), leaf count = 54

$$\{y\left(x\right)=\frac{1}{2}{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-8x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+16\ln (1/2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1/2)x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+8x\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-2\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+7x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+16)}-\frac{1}{2}\}$$