2.739   ODE No. 739

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

$$y^{\prime }(x)=\frac{2y(x)+1}{x(2xy(x{)}^2+xy(x)-2)}$$ ✓ Mathematica : cpu = 0.290668 (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 = 0.275 (sec), leaf count = 35

$$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+4)}}{2}-\frac{1}{2}\}$$