2.851   ODE No. 851

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

\[ y'(x)=\frac {a^3 x^3+3 a^2 b x^2 y(x)+a^2 b x^2+3 a b^2 x y(x)^2+2 a b^2 x y(x)+b^3 y(x)^3+b^3 y(x)^2+b^3}{b^3} \] Mathematica : cpu = 0.485403 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.076 (sec), leaf count = 42

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