2.317   ODE No. 317

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

\[ \left (x^2+2 x y(x)^3+x y(x)\right ) y'(x)+y(x)^2-x y(x)=0 \] Mathematica : cpu = 0.36513 (sec), leaf count = 23

\[\text {Solve}\left [y(x)^2-\frac {x}{y(x)}+\log (y(x))+\log (x)=c_1,y(x)\right ]\] Maple : cpu = 0.168 (sec), leaf count = 29

\[\{y \left (x \right ) = {\mathrm e}^{\RootOf \left (c_{1} {\mathrm e}^{\textit {\_Z}}-\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}-{\mathrm e}^{\textit {\_Z}} \ln \left (x \right )+x -{\mathrm e}^{3 \textit {\_Z}}\right )}\}\]