2.400   ODE No. 400

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

\[ -2 x^2 y'(x)+2 y'(x)^2+3 x y(x)=0 \] Mathematica : cpu = 299.997 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.195 (sec), leaf count = 117

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}},y \left ( x \right ) ={\frac {1}{3\,{\it \_C1}} \left ( {x}^{3}{\it \_C1}+x \left ( -{x}^{2}{\it \_C1}+\sqrt {-6\,{\it \_C1}\,x} \right ) +3 \right ) },y \left ( x \right ) ={\frac {1}{3\,{\it \_C1}} \left ( {x}^{3}{\it \_C1}-x \left ( {x}^{2}{\it \_C1}+\sqrt {-6\,{\it \_C1}\,x} \right ) +3 \right ) },y \left ( x \right ) ={\frac {{x}^{3}}{3}}-{\frac {x}{3} \left ( {x}^{2}-\sqrt {-6\,{\it \_C1}\,x} \right ) }+{\it \_C1},y \left ( x \right ) ={\frac {{x}^{3}}{3}}-{\frac {x}{3} \left ( {x}^{2}+\sqrt {-6\,{\it \_C1}\,x} \right ) }+{\it \_C1} \right \} \]