2.892   ODE No. 892

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

\[ y'(x)=\frac {e^{-\frac {2}{x^2-y(x)^2-1}}+x^2+2 x y(x)+y(x)^2}{-e^{-\frac {2}{x^2-y(x)^2-1}}+x^2+2 x y(x)+y(x)^2} \] Mathematica : cpu = 300.026 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.607 (sec), leaf count = 40

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -{\it \_Z}+\int ^{ \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-2\,{{\rm e}^{{\it \_Z}}}x}\! \left ( {{\rm e}^{2\, \left ( {\it \_a}+1 \right ) ^{-1}}}+{\it \_a} \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) }}-x \right \} \]