\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) \right ) ^{3}-3\,x \left ( y \left ( x \right ) \right ) ^{2}\ln \left ( x \right ) +3\,{x}^{2} \left ( \ln \left ( x \right ) \right ) ^{2}y \left ( x \right ) -{x}^{3} \left ( \ln \left ( x \right ) \right ) ^{3}+{x}^{2}+xy \left ( x \right ) }{{x}^{2}}}=0} \]
Mathematica: cpu = 0.014502 (sec), leaf count = 44 \[ \left \{\left \{y(x)\to x \log (x)-\frac {x}{\sqrt {c_1-2 x}}\right \},\left \{y(x)\to \frac {x}{\sqrt {c_1-2 x}}+x \log (x)\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 36 \[ \left \{ y \left ( x \right ) =-{x{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}}+ x\ln \left ( x \right ) ,y \left ( x \right ) ={x{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}}+x\ln \left ( x \right ) \right \} \]