2.762   ODE No. 762

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

\[ y'(x)=\frac {y(x) (x (-\log (y(x)))-\log (y(x))+x)}{x (x+1)} \] Mathematica : cpu = 0.224779 (sec), leaf count = 26

\[\left \{\left \{y(x)\to (x+1)^{-1/x} e^{1-\frac {c_1}{x}}\right \}\right \}\] Maple : cpu = 0.176 (sec), leaf count = 22

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