2.564   ODE No. 564

\[ a \left (x y'(x)-y(x)\right )+\log \left (y'(x)\right )=0 \] Mathematica : cpu = 0.0038985 (sec), leaf count = 17


\[\left \{\left \{y(x)\to \frac {\log (c_1)}{a}+c_1 x\right \}\right \}\] Maple : cpu = 0.033 (sec), leaf count = 32


\[y \relax (x ) = \frac {\ln \left (-\frac {1}{a x}\right )-1}{a}\]