2.600   ODE No. 600

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

$$y^{\prime }(x)=\frac{y(x{)}^{2}F\left(\frac{1-2y(x)\log (x)}{y(x)}\right)}{x}$$ ✓ Mathematica : cpu = 22.2944 (sec), leaf count = 243

$$\text{Solve}[{\int }_1^{y(x)}(-{\int }_1^x(\frac{2(-\frac{2\log (K[1])}{K[2]}-\frac{1-2K[2]\log (K[1])}{K[2{]}^2})F^{\prime }\left(\frac{1-2K[2]\log (K[1])}{K[2]}\right)}{K[1](F\left(\frac{1-2K[2]\log (K[1])}{K[2]}\right)+2)}-\frac{2(-\frac{2\log (K[1])}{K[2]}-\frac{1-2K[2]\log (K[1])}{K[2{]}^2})F\left(\frac{1-2K[2]\log (K[1])}{K[2]}\right)F^{\prime }\left(\frac{1-2K[2]\log (K[1])}{K[2]}\right)}{K[1]{(F\left(\frac{1-2K[2]\log (K[1])}{K[2]}\right)+2)}^2})dK[1]-\frac{2}{K[2{]}^2(F\left(\frac{1-2\log (x)K[2]}{K[2]}\right)+2)})dK[2]+{\int }_1^x\frac{2F\left(\frac{1-2y(x)\log (K[1])}{y(x)}\right)}{K[1](F\left(\frac{1-2y(x)\log (K[1])}{y(x)}\right)+2)}dK[1]=c_1,y(x)]$$

✓ Maple : cpu = 0.151 (sec), leaf count = 38

$$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}\frac{1}{{\mathit{\_}\mathit{a}}^2}{(F\left(\frac{-2\mathit{\_}\mathit{a}\ln \left(x\right)+1}{\mathit{\_}\mathit{a}}\right)+2)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$