2.852   ODE No. 852

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

\[ y'(x)=\frac {\alpha ^3 y(x)^3+\alpha ^3 y(x)^2+\alpha ^3+3 \alpha ^2 \beta x y(x)^2+2 \alpha ^2 \beta x y(x)+3 \alpha \beta ^2 x^2 y(x)+\alpha \beta ^2 x^2+\beta ^3 x^3}{\alpha ^3} \] Mathematica : cpu = 0.534372 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.079 (sec), leaf count = 42

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