2.739   ODE No. 739

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

\[ y'(x)=\frac {2 y(x)+1}{x \left (2 x y(x)^2+x y(x)-2\right )} \] Mathematica : cpu = 0.214362 (sec), leaf count = 34

\[\text {Solve}\left [\frac {1}{8} \left (-2 y(x)-\frac {4}{2 x y(x)+x}+\log (4 y(x)+2)-1\right )=c_1,y(x)\right ]\]

Maple : cpu = 0.18 (sec), leaf count = 35

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