\[ x \log (x) y'(x)-y(x) \left (2 \log ^2(x)+1\right )-y(x)^2 \log (x)-\log ^3(x)=0 \] ✓ Mathematica : cpu = 0.214417 (sec), leaf count = 98
\[\left \{\left \{y(x)\to -\frac {x \left (\frac {e^{\frac {\log ^2(x)}{2}} \log (x)}{x}+\frac {e^{\frac {\log ^2(x)}{2}} \log ^3(x)}{2 x}+\frac {c_1 e^{\frac {\log ^2(x)}{2}} \log (x)}{x}\right )}{\frac {1}{2} e^{\frac {\log ^2(x)}{2}} \log ^2(x)+c_1 e^{\frac {\log ^2(x)}{2}}}\right \}\right \}\] ✓ Maple : cpu = 0.025 (sec), leaf count = 23
\[\left \{y \left (x \right ) = -\frac {\left (\ln \left (x \right )^{2}+c_{1}+2\right ) \ln \left (x \right )}{\ln \left (x \right )^{2}+c_{1}}\right \}\]