2.639   ODE No. 639

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

$$y^{\prime }(x)=y(x)(\log (x)-\log (\log (y(x))){)}^2$$ ✗ Mathematica : cpu = 0.283089 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == (Log[x] - Log[Log[y[x]]])^2*y[x], y[x], x]

✓ Maple : cpu = 0.381 (sec), leaf count = 50

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