ODE No. 840

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

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^3+x e^{-\frac {y(x)}{x}}+e^{-\frac {y(x)}{x}} y(x)\right )}{x} \] Mathematica : cpu = 0.137755 (sec), leaf count = 30

\[\left \{\left \{y(x)\to -x \log \left (\frac {e^{3 c_1}}{3 x}-\frac {x^2}{3}\right )\right \}\right \}\] Maple : cpu = 0.08 (sec), leaf count = 19

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