3.739   ODE No. 739

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1+2y\left(x\right)}{x(-2+xy\left(x\right)+2x{\left(y\left(x\right)\right)}^2)}=0}}$$

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

Mathematica: cpu = 0.131517 (sec), leaf count = 39 $$\text{Solve}[\frac{1}{8}(-2y(x)+\log (4y(x)+2)-1)-\frac{1}{2x(2y(x)+1)}=c_1,y(x)]$$

Maple: cpu = 0.140 (sec), leaf count = 35 $$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+4)}}{2}-\frac{1}{2}\}$$