2.638   ODE No. 638

\[ y'(x)=y(x) (\log (\log (y(x)))-\log (x)) \] Mathematica : cpu = 0.127669 (sec), leaf count = 41


\[\text {Solve}\left [\int _1^{y(x)}\frac {1}{K[1] (x \log (x)+\log (K[1])-x \log (\log (K[1])))}dK[1]=-\log (x)+c_1,y(x)\right ]\] Maple : cpu = 0.21 (sec), leaf count = 35


\[\int _{\textit {\_b}}^{y \relax (x )}\frac {1}{\textit {\_a} \left (x \ln \relax (x )-\ln \left (\ln \left (\textit {\_a} \right )\right ) x +\ln \left (\textit {\_a} \right )\right )}d \textit {\_a} +\ln \relax (x )-c_{1} = 0\]