2.204   ODE No. 204

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

\[ a y(x)+y(x) y'(x)+x=0 \] Mathematica : cpu = 300.505 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.316 (sec), leaf count = 91

\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( {{\it \_Z}}^{2}-{{\rm e}^{{\it RootOf} \left ( {x}^{2} \left ( - \left ( \tanh \left ( {\frac {2\,{\it \_C1}+{\it \_Z}+2\,\ln \left ( x \right ) }{2\,a}\sqrt { \left ( a-2 \right ) \left ( a+2 \right ) }} \right ) \right ) ^{2}{a}^{2}+4\, \left ( \tanh \left ( 1/2\,{\frac {\sqrt { \left ( a-2 \right ) \left ( a+2 \right ) } \left ( 2\,{\it \_C1}+{\it \_Z}+2\,\ln \left ( x \right ) \right ) }{a}} \right ) \right ) ^{2}+{a}^{2}+4\,{{\rm e}^{{\it \_Z}}}-4 \right ) \right ) }}+1+{\it \_Z}\,a \right ) x \right \} \]