2.823   ODE No. 823

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

\[ y'(x)=\frac {y(x) (y(x)+x)}{x \left (y(x)^4+y(x)^3+y(x)+x\right )} \] Mathematica : cpu = 0.486311 (sec), leaf count = 39

\[\text {Solve}\left [\frac {y(x)^3}{3}+\frac {y(x)^2}{2}+\log (y(x))-\frac {y(x) \log (x)+x}{y(x)}=c_1,y(x)\right ]\] Maple : cpu = 0.234 (sec), leaf count = 38

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