2.693   ODE No. 693

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

\[ y'(x)=e^{b x} \left (e^{-3 b x} y(x)^3+e^{-2 b x} y(x)^2+1\right ) \] Mathematica : cpu = 1.02161 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.216 (sec), leaf count = 40

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