2.718   ODE No. 718

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

\[ y'(x)=e^{-x^2} x \left (e^{3 x^2} y(x)^3+e^{2 x^2} y(x)^2+1\right ) \] Mathematica : cpu = 1.1192 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.068 (sec), leaf count = 44

\[ \left \{ y \left ( x \right ) ={\frac {-11\,{\it RootOf} \left ( -5\,{x}^{2}+20250\,\int ^{{\it \_Z}}\! \left ( 121\,{{\it \_a}}^{3}+3375\,{\it \_a}-3375 \right ) ^{-1}{d{\it \_a}}+6\,{\it \_C1} \right ) -15}{45\,{{\rm e}^{{x}^{2}}}}} \right \} \]