2.640   ODE No. 640

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

$$y^{\prime }(x)=\frac{y(x)}{\log (\log (y(x)))-\log (x)+1}$$ ✗ Mathematica : cpu = 3.33643 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == y[x]/(1 - Log[x] + Log[Log[y[x]]]), y[x], x]

✓ Maple : cpu = 0.24 (sec), leaf count = 45

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