2.756   ODE No. 756

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

\[ y'(x)=\frac {x^6+2 x^3 y(x)+x^2 y(x)^2+y(x)^3}{x^4} \] Mathematica : cpu = 0.261215 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.034 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) ={\frac { \left ( -3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) {x}^{2}}{9}} \right \} \]