2.698   ODE No. 698

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

\[ y'(x)=e^x \left (e^{-3 x} y(x)^3+e^{-2 x} y(x)^2+1\right ) \] Mathematica : cpu = 0.365757 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.174 (sec), leaf count = 34

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