2.811   ODE No. 811

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

\[ y'(x)=\frac {x^4+x^3 e^{y(x)}+x y(x)+e^{y(x)} y(x)-x \log \left (e^{y(x)}+x\right )-e^{y(x)} \log \left (e^{y(x)}+x\right )+x}{x^2} \] Mathematica : cpu = 2.29885 (sec), leaf count = 29

\[\left \{\left \{y(x)\to -\log \left (\frac {e^{-\frac {1}{2} x \left (2 c_1+x^2\right )}-1}{x}\right )\right \}\right \}\]

Maple : cpu = 2.608 (sec), leaf count = 32

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