3.620   ODE No. 620

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.156 (sec), leaf count = 37 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\mathit{\_}\mathit{Z}+{\int }^{{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-2x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}}{({\mathrm{e}}^{2F\left(\mathit{\_}\mathit{a}\right)}+\mathit{\_}\mathit{a})}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})}-x\}$$