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 = 0.443519 (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 = 0.373 (sec), leaf count = 38

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