\[ y'(x)=\frac {(2 y(x) \log (x)-1)^2}{x} \] ✓ Mathematica : cpu = 0.56641 (sec), leaf count = 92
DSolve[Derivative[1][y][x] == (-1 + 2*Log[x]*y[x])^2/x,y[x],x]
\[\left \{\left \{y(x)\to \frac {\sin \left (\sqrt {2} \log (x)\right )+c_1 \cos \left (\sqrt {2} \log (x)\right )}{2 \log (x) \sin \left (\sqrt {2} \log (x)\right )+\sqrt {2} \cos \left (\sqrt {2} \log (x)\right )+2 c_1 \log (x) \cos \left (\sqrt {2} \log (x)\right )-\sqrt {2} c_1 \sin \left (\sqrt {2} \log (x)\right )}\right \}\right \}\] ✓ Maple : cpu = 0.168 (sec), leaf count = 62
dsolve(diff(y(x),x) = (2*y(x)*ln(x)-1)^2/x,y(x))
\[y \left (x \right ) = \frac {\sin \left (\sqrt {2}\, \ln \left (x \right )\right ) c_{1}+\cos \left (\sqrt {2}\, \ln \left (x \right )\right )}{\sin \left (\sqrt {2}\, \ln \left (x \right )\right ) \left (2 c_{1} \ln \left (x \right )-\sqrt {2}\right )+\left (\sqrt {2}\, c_{1}+2 \ln \left (x \right )\right ) \cos \left (\sqrt {2}\, \ln \left (x \right )\right )}\]