2.638   ODE No. 638

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

\[ y'(x)=y(x) (-(\log (x)-\log (\log (y(x))))) \] Mathematica : cpu = 1.71041 (sec), leaf count = 0 , could not solve

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

Maple : cpu = 0.36 (sec), leaf count = 35

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