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 = 300.006 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.256 (sec), leaf count = 101

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