2.858   ODE No. 858

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

\[ y'(x)=\frac {a^3 y(x)^3+a^3 y(x)^2+a^3+3 a^2 b x y(x)^2+2 a^2 b x y(x)+3 a b^2 x^2 y(x)+a b^2 x^2+b^3 x^3}{a^3} \] Mathematica : cpu = 0.509249 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.075 (sec), leaf count = 42

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