2.639   ODE No. 639

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

\[ y'(x)=y(x) (\log (x)-\log (\log (y(x))))^2 \] 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

\[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!{\frac {1}{{\it \_a}\, \left ( x \left ( \ln \left ( x \right ) \right ) ^{2}-2\,\ln \left ( \ln \left ( {\it \_a} \right ) \right ) \ln \left ( x \right ) x+ \left ( \ln \left ( \ln \left ( {\it \_a} \right ) \right ) \right ) ^{2}x-\ln \left ( {\it \_a} \right ) \right ) }}\,{\rm d}{\it \_a}-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]