2.697   ODE No. 697

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

\[ y'(x)=e^{2 x/3} \left (e^{-2 x} y(x)^3+e^{-4 x/3} y(x)^2+1\right ) \] Mathematica : cpu = 0.359558 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.152 (sec), leaf count = 40

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