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 = 0.452093 (sec), leaf count = 35

\[\text {Solve}\left [\frac {y(x)^3}{3}+\frac {y(x)^2}{2}+\log (y(x))=c_1+\frac {x}{y(x)}+\log (x),y(x)\right ]\]

Maple : cpu = 0.145 (sec), leaf count = 38

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