2.402   ODE No. 402

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

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

$Aborted

Maple : cpu = 0.184 (sec), leaf count = 117

\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{3}},y \left ( x \right ) =-{\frac {5\,{{\it \_C1}}^{2}{x}^{2}+2\,{\it \_C1}\,x \left ( -{\it \_C1}\,x+\sqrt {3} \right ) -3}{12\,{{\it \_C1}}^{2}}},y \left ( x \right ) =-{\frac {5\,{{\it \_C1}}^{2}{x}^{2}-2\,{\it \_C1}\,x \left ( {\it \_C1}\,x+\sqrt {3} \right ) -3}{12\,{{\it \_C1}}^{2}}},y \left ( x \right ) =-{\frac {5\,{x}^{2}}{12}}+{\frac {x \left ( x-\sqrt {3}{\it \_C1} \right ) }{6}}+{\frac {{{\it \_C1}}^{2}}{4}},y \left ( x \right ) =-{\frac {5\,{x}^{2}}{12}}+{\frac {x \left ( x+\sqrt {3}{\it \_C1} \right ) }{6}}+{\frac {{{\it \_C1}}^{2}}{4}} \right \} \]