2.830   ODE No. 830

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

\[ y'(x)=\frac {(x-y(x)) y(x)}{x \left (-y(x)^4-y(x)^3-y(x)+x\right )} \] Mathematica : cpu = 0.513535 (sec), leaf count = 37

\[\text {Solve}\left [-\frac {1}{3} y(x)^3-\frac {y(x)^2}{2}-\frac {x}{y(x)}-\log (y(x))+\log (x)=c_1,y(x)\right ]\] Maple : cpu = 0.23 (sec), leaf count = 38

\[\{y \left (x \right ) = {\mathrm e}^{\RootOf \left (6 c_{1} {\mathrm e}^{\textit {\_Z}}+6 \textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}-6 \,{\mathrm e}^{\textit {\_Z}} \ln \left (x \right )+6 x +3 \,{\mathrm e}^{3 \textit {\_Z}}+2 \,{\mathrm e}^{4 \textit {\_Z}}\right )}\}\]