2.818   ODE No. 818

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

\[ y'(x)=\frac {y(x)}{x \left (x y(x)^4+x y(x)^3+x y(x)-1\right )} \] Mathematica : cpu = 0.265931 (sec), leaf count = 34

\[\text {Solve}\left [\frac {y(x)^3}{3}+\frac {y(x)^2}{2}+\frac {1}{x y(x)}+\log (y(x))=c_1,y(x)\right ]\] Maple : cpu = 0.317 (sec), leaf count = 34

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