\[ y'(x)=\text {csch}(x) \left (x^2 \log (x)+2 x y(x) \log (x)+y(x)^2 \log (x)+\log (x)-\sinh (x)\right ) \] ✓ Mathematica : cpu = 19.8502 (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 = 10.138 (sec), leaf count = 24
\[y \relax (x ) = -x -\tan \left (c_{1}-\left (\int \frac {\ln \relax (x )}{\sinh \relax (x )}d x \right )\right )\]