2.52   ODE No. 52

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

\[ -a y(x)^n-b x^{\frac {n}{1-n}}+y'(x)=0 \] Mathematica : cpu = 300.022 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.205 (sec), leaf count = 61

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