2.550   ODE No. 550

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

\[ -a y(x)^s-b x^{\frac {r s}{r-s}}+y'(x)^r=0 \] Mathematica : cpu = 300.096 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.569 (sec), leaf count = 60

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