\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) +{x}^{2} \left ( \ln \left ( x \right ) \right ) ^{3}+2\,{x}^{2} \left ( \ln \left ( x \right ) \right ) ^{2}y \left ( x \right ) +{x}^{2}\ln \left ( x \right ) \left ( y \left ( x \right ) \right ) ^{2}}{x\ln \left ( x \right ) }}=0} \]
Mathematica: cpu = 0.122015 (sec), leaf count = 186 \[ \left \{\left \{y(x)\to -\frac {c_1 e^{\frac {1}{4} x^2 (2 \log (x)-1)} \left (\frac {x}{2}+\frac {1}{2} x (2 \log (x)-1)\right )+\frac {1}{4} x^2 e^{\frac {1}{4} x^2 (2 \log (x)-1)} (2 \log (x)-1) \left (\frac {x}{2}+\frac {1}{2} x (2 \log (x)-1)\right )+\frac {1}{2} x e^{\frac {1}{4} x^2 (2 \log (x)-1)}+\frac {1}{2} x e^{\frac {1}{4} x^2 (2 \log (x)-1)} (2 \log (x)-1)}{x \left (c_1 e^{\frac {1}{4} x^2 (2 \log (x)-1)}+\frac {1}{4} x^2 e^{\frac {1}{4} x^2 (2 \log (x)-1)} (2 \log (x)-1)\right )}\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) =-{\frac {\ln \left ( x \right ) \left ( 2 \,{x}^{2}\ln \left ( x \right ) -{x}^{2}+2\,{\it \_C1}+4 \right ) }{2\,{ x}^{2}\ln \left ( x \right ) -{x}^{2}+2\,{\it \_C1}}} \right \} \]