\[ y'(x)=\text {csch}(x) \left (x^2 \log (x)+2 x y(x) \log (x)+y(x)^2 \log (x)+\log (x)-\sinh (x)\right ) \] ✓ Mathematica : cpu = 19.7429 (sec), leaf count = 27
\[\left \{\left \{y(x)\to -x+\tan \left (\int _1^x\text {csch}(K[5]) \log (K[5])dK[5]+c_1\right )\right \}\right \}\] ✓ Maple : cpu = 8.236 (sec), leaf count = 24
\[ \left \{ y \left ( x \right ) =-x-\tan \left ( {\it \_C1}-\int \!{\frac {\ln \left ( x \right ) }{\sinh \left ( x \right ) }}\,{\rm d}x \right ) \right \} \]