2.534   ODE No. 534

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

\[ 4 x y'(x)^3-6 y(x) y'(x)^2+3 y(x)-x=0 \] Mathematica : cpu = 300.017 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.066 (sec), leaf count = 102

\[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) = \left ( -{\frac {1}{2}}-{\frac {\sqrt {3}}{2}} \right ) x,y \left ( x \right ) = \left ( {\frac {\sqrt {3}}{2}}-{\frac {1}{2}} \right ) x,y \left ( x \right ) ={x \left ( -{\frac { \left ( {\it \_C1}+x \right ) \sqrt {2}}{{{\it \_C1}}^{2}}\sqrt {{\it \_C1}\, \left ( {\it \_C1}+x \right ) }}+1 \right ) \left ( -3\,{\frac {{\it \_C1}+x}{{\it \_C1}}}+3 \right ) ^{-1}},y \left ( x \right ) ={x \left ( {\frac { \left ( {\it \_C1}+x \right ) \sqrt {2}}{{{\it \_C1}}^{2}}\sqrt {{\it \_C1}\, \left ( {\it \_C1}+x \right ) }}+1 \right ) \left ( -3\,{\frac {{\it \_C1}+x}{{\it \_C1}}}+3 \right ) ^{-1}} \right \} \]