\[ y'(x)=\frac {\csc (y(x)) \left (\frac {1}{2} x^2 \log (x) \cos (2 y(x))+\frac {1}{2} x^2 \log (x)-\cos (y(x))\right )}{x \log (x)} \] ✓ Mathematica : cpu = 0.499912 (sec), leaf count = 63
\[\left \{\left \{y(x)\to -\sec ^{-1}\left (\frac {-x^2+2 x^2 \log (x)-4 c_1}{4 \log (x)}\right )\right \},\left \{y(x)\to \sec ^{-1}\left (\frac {-x^2+2 x^2 \log (x)-4 c_1}{4 \log (x)}\right )\right \}\right \}\] ✓ Maple : cpu = 0.874 (sec), leaf count = 27
\[y \relax (x ) = \arccos \left (\frac {4 \ln \relax (x )}{2 x^{2} \ln \relax (x )-x^{2}+4 c_{1}}\right )\]