2.893   ODE No. 893

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

\[ y'(x)=\frac {x^3 y(x)^3+x^3 y(x)^2+x^3+6 x^2 y(x)^2+4 x^2 y(x)+12 x y(x)+6 x+8}{x^3} \] Mathematica : cpu = 0.0975865 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.039 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) ={\frac {29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) x-3\,x-18}{9\,x}} \right \} \]