3.638   ODE No. 638

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

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

Mathematica: cpu = 2.786354 (sec), leaf count = 21 $$\text{DSolve}[y^{\prime }(x)=y(x)(\log (\log (y(x)))-\log (x)),y(x),x]$$

Maple: cpu = 0.124 (sec), leaf count = 35 $$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}\frac{1}{\mathit{\_}\mathit{a}(x\ln \left(x\right)-\ln (\ln \left(\mathit{\_}\mathit{a}\right))x+\ln \left(\mathit{\_}\mathit{a}\right))}\mathrm{d}\mathit{\_}\mathit{a}+\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$