\[ y'(x)=\frac {\csc (y(x)) \left (\frac {1}{2} x^2 \log (x) \cos (2 y(x))+\frac {1}{2} x^2 \log (x)-\cos (y(x))\right )}{x \log (x)} \] ✓ Mathematica : cpu = 0.522236 (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 = 0.783 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =\arccos \left ( 4\,{\frac {\ln \left ( x \right ) }{2\,{x}^{2}\ln \left ( x \right ) -{x}^{2}+4\,{\it \_C1}}} \right ) \right \} \]