2.778   ODE No. 778

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

\[ y'(x)=\frac {x^9 y(x)^3+x^6 y(x)^2-3 x^2 y(x)+1}{x^3} \] Mathematica : cpu = 0.213563 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.03 (sec), leaf count = 37

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