\[ y'(x)+y(x) \log \left (y'(x)\right )-x y(x)-y(x) \log (y(x))=0 \] ✓ Mathematica : cpu = 0.0274835 (sec), leaf count = 25
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} W\left (e^x\right )^2+W\left (e^x\right )}\right \}\right \}\] ✓ Maple : cpu = 0.25 (sec), leaf count = 17
\[y \relax (x ) = c_{1} {\mathrm e}^{\frac {\LambertW \left ({\mathrm e}^{x}\right ) \left (\LambertW \left ({\mathrm e}^{x}\right )+2\right )}{2}}\]