3.601   ODE No. 601

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

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

Mathematica: cpu = 32.152083 (sec), leaf count = 179 $$\text{Solve}[{\int }_1^{y(x)}(\frac{K[2]}{F((K[2]-x)(K[2]+x))-1}-{\int }_1^x(\frac{2K[1]K[2]F((K[2]-K[1])(K[1]+K[2]))F^{\prime }((K[2]-K[1])(K[1]+K[2]))}{(F((K[2]-K[1])(K[1]+K[2]))-1{)}^2}-\frac{2K[1]K[2]F^{\prime }((K[2]-K[1])(K[1]+K[2]))}{F((K[2]-K[1])(K[1]+K[2]))-1})dK[1])dK[2]+{\int }_1^x-\frac{K[1]F((y(x)-K[1])(K[1]+y(x)))}{F((y(x)-K[1])(K[1]+y(x)))-1}dK[1]=c_1,y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 61 $$\{y\left(x\right)=\sqrt{x^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x^2+{\int }^{\mathit{\_}\mathit{Z}}{(F\left(\mathit{\_}\mathit{a}\right)-1)}^{-1}d\mathit{\_}\mathit{a}+2\mathit{\_}\mathit{C}\mathit{1})},y\left(x\right)=-\sqrt{x^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x^2+{\int }^{\mathit{\_}\mathit{Z}}{(F\left(\mathit{\_}\mathit{a}\right)-1)}^{-1}d\mathit{\_}\mathit{a}+2\mathit{\_}\mathit{C}\mathit{1})}\}$$