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 = 0.18406 (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 = 0.244 (sec), leaf count = 34

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -2\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}-3\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}+6\,{\it \_C1}\,x{{\rm e}^{{\it \_Z}}}-6\,{\it \_Z}\,x{{\rm e}^{{\it \_Z}}}-6 \right ) }} \right \} \]