2.873   ODE No. 873

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

\[ y'(x)=\frac {2 y(x)+1}{x \left (2 x y(x)^4+3 x y(x)^3+x y(x)^2+2 x y(x)+x-2\right )} \] Mathematica : cpu = 0.491061 (sec), leaf count = 53

\[\text {Solve}\left [\frac {1}{192} \left (-16 y(x)^3-12 y(x)^2+12 y(x)-54 \log (4 y(x)+2)+7\right )-\frac {1}{2 x (2 y(x)+1)}=c_1,y(x)\right ]\] Maple : cpu = 0.328 (sec), leaf count = 50

\[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( 2\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}-3\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-6\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+48\,{\it \_C1}\,x{{\rm e}^{{\it \_Z}}}+54\,{\it \_Z}\,x{{\rm e}^{{\it \_Z}}}+7\,x{{\rm e}^{{\it \_Z}}}+96 \right ) }}}{2}}-{\frac {1}{2}} \right \} \]