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 = 0.162162 (sec), leaf count = 26

\[\left \{\left \{y(x)\to (x+1)^{-1/x} e^{1-\frac {c_1}{x}}\right \}\right \}\] Maple : cpu = 0.251 (sec), leaf count = 22

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