2.640   ODE No. 640

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

\[ y'(x)=\frac {y(x)}{\log (\log (y(x)))-\log (x)+1} \] Mathematica : cpu = 2.34937 (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 = 0.442 (sec), leaf count = 47

\[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!{\frac {-\ln \left ( \ln \left ( {\it \_a} \right ) \right ) +\ln \left ( x \right ) -1}{{\it \_a}\, \left ( \ln \left ( {\it \_a} \right ) \ln \left ( x \right ) -\ln \left ( {\it \_a} \right ) \ln \left ( \ln \left ( {\it \_a} \right ) \right ) -\ln \left ( {\it \_a} \right ) +x \right ) }}\,{\rm d}{\it \_a}-{\it \_C1}=0 \right \} \]