2.710   ODE No. 710

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

\[ y'(x)=\frac {2 x^3+4 x^2 y(x)+2 x y(x)^2+2 x+e^{\frac {1}{x}}-\log (x)}{\log (x)-e^{\frac {1}{x}}} \] Mathematica : cpu = 300.029 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 2.583 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) =-x+\tan \left ( 2\,{\it \_C1}-2\,\int \! \left ( -{\frac {\ln \left ( x \right ) }{x}}+{\frac {{{\rm e}^{{x}^{-1}}}}{x}} \right ) ^{-1}\,{\rm d}x \right ) \right \} \]