2.811   ODE No. 811

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

\[ y'(x)=\frac {x^3 e^{y(x)}+x^4+x y(x)+e^{y(x)} y(x)-x \log \left (e^{y(x)}+x\right )-e^{y(x)} \log \left (e^{y(x)}+x\right )+x}{x^2} \] Mathematica : cpu = 1.74983 (sec), leaf count = 33

\[\left \{\left \{y(x)\to -\log \left (-\frac {1}{x}+\frac {e^{-\frac {x^3}{2}-c_1 x}}{x}\right )\right \}\right \}\] Maple : cpu = 2.413 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{2}}+{\it \_C1}\,x+\ln \left ( -{x \left ( -1+{{\rm e}^{{\frac {{x}^{3}}{2}}}}{{\rm e}^{{\it \_C1}\,x}} \right ) ^{-1}} \right ) \right \} \]