2.185   ODE No. 185

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

\[ x^7 y'(x)+5 x^3 y(x)^2+2 \left (x^2+1\right ) y(x)^3=0 \] Mathematica : cpu = 300.184 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.059 (sec), leaf count = 63

\[ \left \{ {\it \_C1}+{x{\frac {1}{\sqrt [4]{ \left ( {x}^{-1}+{\frac {{x}^{2}}{y \left ( x \right ) }} \right ) ^{2}+1}}}}+{\frac {{x}^{3}+y \left ( x \right ) }{2\,xy \left ( x \right ) }{\mbox {$_2$F$_1$}({\frac {1}{2}},{\frac {5}{4}};\,{\frac {3}{2}};\,-{\frac { \left ( {x}^{3}+y \left ( x \right ) \right ) ^{2}}{{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}}})}}=0 \right \} \]