3.638   ODE No. 638

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =- \left ( -\ln \left ( \ln \left ( y \left ( x \right ) \right ) \right ) +\ln \left ( x \right ) \right ) y \left ( x \right ) =0} \]

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

Mathematica: cpu = 2.786354 (sec), leaf count = 21 \[ \text {DSolve}\left [y'(x)=y(x) (\log (\log (y(x)))-\log (x)),y(x),x\right ] \]

Maple: cpu = 0.124 (sec), leaf count = 35 \[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!{\frac {1}{{\it \_a} \, \left ( x\ln \left ( x \right ) -\ln \left ( \ln \left ( {\it \_a} \right ) \right ) x+\ln \left ( {\it \_a} \right ) \right ) }}\,{\rm d} {\it \_a}+\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]