2.984   ODE No. 984

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

\[ y'(x)=\frac {e^{-2 x} (x-1) y(x) \left (x^2 y(x)^2+e^x x y(x)+e^{2 x}\right )}{x} \] Mathematica : cpu = 300.986 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.322 (sec), leaf count = 40

\[ \left \{ y \left ( x \right ) ={\frac {1}{9\,x}{{\rm e}^{{\it RootOf} \left ( -{{\rm e}^{{\it \_Z}}}\ln \left ( {\frac {x \left ( {{\rm e}^{{\it \_Z}}}+9 \right ) }{2}} \right ) +3\,{\it \_C1}\,{{\rm e}^{{\it \_Z}}}+{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+{{\rm e}^{{\it \_Z}}}x+9 \right ) +x}}} \right \} \]