\[ y'(x)=\frac {e^{-\frac {2}{x^2-y(x)^2-1}}+x^2+2 x y(x)+y(x)^2}{-e^{-\frac {2}{x^2-y(x)^2-1}}+x^2+2 x y(x)+y(x)^2} \] ✗ Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.849 (sec), leaf count = 40
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -{\it \_Z}+\int ^{ \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-2\,x{{\rm e}^{{\it \_Z}}}}\! \left ( {{\rm e}^{2\, \left ( {\it \_a}+1 \right ) ^{-1}}}+{\it \_a} \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) }}-x \right \} \]