ODE No. 119

\[ x y'(x)-y(x) (\log (x y(x))-1)=0 \]

✓ Mathematica : cpu = 0.0951035 (sec), leaf count = 17

DSolve[-((-1 + Log[x*y[x]])*y[x]) + x*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {e^{e^{c_1} x}}{x}\right \}\right \}\]

✓ Maple : cpu = 0.073 (sec), leaf count = 14

dsolve(x*diff(y(x),x)-y(x)*(ln(x*y(x))-1) = 0,y(x))

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