2.524   ODE No. 524

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

\[ y'(x)^3-2 y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 611.964 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.6 (sec), leaf count = 261

\[ \left \{ x-\int ^{y \left ( x \right ) }\!6\,{\frac {\sqrt [3]{-108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}}}}{ \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}} \right ) ^{2/3}+24\,{\it \_a}}}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!24\,{\frac {\sqrt [3]{-108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}}}}{ \left ( i\sqrt {3}+1 \right ) \left ( \left ( i\sqrt {3}+1 \right ) \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}} \right ) ^{2/3}-48\,{\it \_a} \right ) }}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!24\,{\frac {\sqrt [3]{-108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}}}}{ \left ( \left ( i\sqrt {3}-1 \right ) \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {27\,{{\it \_a}}^{4}-32\,{{\it \_a}}^{3}} \right ) ^{2/3}+48\,{\it \_a} \right ) \left ( i\sqrt {3}-1 \right ) }}{d{\it \_a}}-{\it \_C1}=0 \right \} \]