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 = 2.04327 (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 = 1.769 (sec), leaf count = 32

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