\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) \left ( \ln \left ( x \right ) +\ln \left ( y \left ( x \right ) \right ) -1+x \left ( \ln \left ( x \right ) \right ) ^{2}+2\,x\ln \left ( y \left ( x \right ) \right ) \ln \left ( x \right ) +x \left ( \ln \left ( y \left ( x \right ) \right ) \right ) ^{2}+{x}^{3} \left ( \ln \left ( x \right ) \right ) ^{2}+2\,{x}^{3}\ln \left ( y \left ( x \right ) \right ) \ln \left ( x \right ) +{x}^{3} \left ( \ln \left ( y \left ( x \right ) \right ) \right ) ^{2}+{x}^{4} \left ( \ln \left ( x \right ) \right ) ^{2}+2\,{x}^{4}\ln \left ( y \left ( x \right ) \right ) \ln \left ( x \right ) +{x}^{4} \left ( \ln \left ( y \left ( x \right ) \right ) \right ) ^{2} \right ) }{x}}=0} \]
Mathematica: cpu = 1.521193 (sec), leaf count = 97 \[ \text {DSolve}\left [y'(x)=\frac {y(x) \left (x^4 \log ^2(y(x))+2 x^4 \log (x) \log (y(x))+x^4 \log ^2(x)+x^3 \log ^2(y(x))+2 x^3 \log (x) \log (y(x))+x^3 \log ^2(x)+x \log ^2(y(x))+2 x \log (x) \log (y(x))+\log (y(x))+x \log ^2(x)+\log (x)-1\right )}{x},y(x),x\right ] \]
Maple: cpu = 0.281 (sec), leaf count = 145 \[ \left \{ y \left ( x \right ) ={1 \left ( {x}^{{\frac {{x}^{5}}{4\,{x}^{5 }+5\,{x}^{4}+10\,{x}^{2}+20\,{\it \_C1}}}} \right ) ^{-4} \left ( {x}^{{ \frac {{x}^{4}}{4\,{x}^{5}+5\,{x}^{4}+10\,{x}^{2}+20\,{\it \_C1}}}} \right ) ^{-5} \left ( {x}^{{\frac {{x}^{2}}{4\,{x}^{5}+5\,{x}^{4}+10\, {x}^{2}+20\,{\it \_C1}}}} \right ) ^{-10} \left ( {x}^{{\frac {{\it \_C1 }}{4\,{x}^{5}+5\,{x}^{4}+10\,{x}^{2}+20\,{\it \_C1}}}} \right ) ^{-20} \left ( {{\rm e}^{{\frac {x}{4\,{x}^{5}+5\,{x}^{4}+10\,{x}^{2}+20\,{ \it \_C1}}}}} \right ) ^{-20}} \right \} \]