2.976   ODE No. 976

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

\[ y'(x)=\frac {y(x) \left (x^7 y(x)^2+x^4 y(x)+x-3\right )}{x} \] Mathematica : cpu = 0.226211 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.872 (sec), leaf count = 57

\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,{x}^{3}} \left ( \sqrt {3}\tan \left ( {\it RootOf} \left ( -\sqrt {3}\ln \left ( {\frac {9\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+9}{7\, \left ( \sqrt {3}-3\,\tan \left ( {\it \_Z} \right ) \right ) ^{2}}} \right ) +3\,\sqrt {3}{\it \_C1}-2\,\sqrt {3}x-2\,{\it \_Z} \right ) \right ) -1 \right ) } \right \} \]