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 = 300.002 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.163 (sec), leaf count = 84

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