2.961   ODE No. 961

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

\[ y'(x)=\frac {\exp \left (-2 x^6+6 x^4 y(x)^2+2 x^4-6 x^2 y(x)^4-4 x^2 y(x)^2+2 y(x)^6+2 y(x)^4+2\right )+x^2+2 x y(x)+y(x)^2}{-\exp \left (-2 x^6+6 x^4 y(x)^2+2 x^4-6 x^2 y(x)^4-4 x^2 y(x)^2+2 y(x)^6+2 y(x)^4+2\right )+x^2+2 x y(x)+y(x)^2} \] Mathematica : cpu = 300.001 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.392 (sec), leaf count = 45

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -{\it \_Z}+\int ^{ \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-2\,{{\rm e}^{{\it \_Z}}}x}\! \left ( {{\rm e}^{2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}+2}}+{\it \_a} \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) }}-x \right \} \]