2.930   ODE No. 930

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

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^4+x^2 e^{-\frac {y(x)}{x}}+x e^{-\frac {y(x)}{x}}+x e^{-\frac {y(x)}{x}} y(x)+e^{-\frac {y(x)}{x}} y(x)\right )}{x (x+1)} \] Mathematica : cpu = 1.59835 (sec), leaf count = 39

\[\left \{\left \{y(x)\to -x \log \left (\frac {-\frac {x^3}{3}+\frac {x^2}{2}-x+\log (x+1)-c_1}{x}\right )\right \}\right \}\] Maple : cpu = 0.434 (sec), leaf count = 36

\[\left \{y \left (x \right ) = -x \ln \left (\frac {-2 x^{3}+3 x^{2}-6 c_{1}-6 x +6 \ln \left (x +1\right )}{6 x}\right )\right \}\]