\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) \ln \left ( x \right ) x+{x}^{2}\ln \left ( x \right ) -2\,xy \left ( x \right ) -{x}^{2}- \left ( y \left ( x \right ) \right ) ^{2}- \left ( y \left ( x \right ) \right ) ^{3}+3\,x \left ( y \left ( x \right ) \right ) ^{2}\ln \left ( x \right ) -3\,{x}^{2} \left ( \ln \left ( x \right ) \right ) ^{2}y \left ( x \right ) +{x}^{3} \left ( \ln \left ( x \right ) \right ) ^{3}}{x \left ( -y \left ( x \right ) +x\ln \left ( x \right ) -x \right ) }}=0} \]
Mathematica: cpu = 0.022003 (sec), leaf count = 80 \[ \left \{\left \{y(x)\to -\frac {1}{x \left (-\frac {1}{x^2 \sqrt {c_1-2 x}}-\frac {1}{x^2}\right )}-x+x \log (x)\right \},\left \{y(x)\to -\frac {1}{x \left (\frac {1}{x^2 \sqrt {c_1-2 x}}-\frac {1}{x^2}\right )}-x+x \log (x)\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 63 \[ \left \{ y \left ( x \right ) ={x \left ( \ln \left ( x \right ) \sqrt {{ \it \_C1}-2\,x}-\ln \left ( x \right ) +1 \right ) \left ( \sqrt {{\it \_C1}-2\,x}-1 \right ) ^{-1}},y \left ( x \right ) ={x \left ( \ln \left ( x \right ) \sqrt {{\it \_C1}-2\,x}+\ln \left ( x \right ) -1 \right ) \left ( \sqrt {{\it \_C1}-2\,x}+1 \right ) ^{-1}} \right \} \]