2.416   ODE No. 416

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

\[ x y'(x)^2+(y(x)-3 x) y'(x)+y(x)=0 \] Mathematica : cpu = 303.551 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.065 (sec), leaf count = 136

\[ \left \{ -{\frac {{\it \_C1}}{x} \left ( 5\,x-y \left ( x \right ) +\sqrt {9\,{x}^{2}-10\,xy \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}} \right ) \left ( {\frac {1}{x} \left ( 3\,x-y \left ( x \right ) +\sqrt {9\,{x}^{2}-10\,xy \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) ^{-{\frac {3}{2}}}}+x=0,{\frac {{\it \_C1}}{x} \left ( -5\,x+y \left ( x \right ) +\sqrt {9\,{x}^{2}-10\,xy \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}} \right ) \left ( {\frac {1}{x} \left ( 6\,x-2\,y \left ( x \right ) -2\,\sqrt {9\,{x}^{2}-10\,xy \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) ^{-{\frac {3}{2}}}}+x=0,y \left ( x \right ) =x \right \} \]