\[ y'(x)=-\frac {y(x) \coth (x) \left (x^2 y(x) (-\log (2 x))+x \log (2 x)+\tanh (x)\right )}{x} \] ✓ Mathematica : cpu = 3.98131 (sec), leaf count = 88
\[\left \{\left \{y(x)\to \frac {\exp \left (\int _1^x\frac {-\coth (K[1]) K[1] \log (2 K[1])-1}{K[1]}dK[1]\right )}{-\int _1^x\exp \left (\int _1^{K[2]}\frac {-\coth (K[1]) K[1] \log (2 K[1])-1}{K[1]}dK[1]\right ) \coth (K[2]) K[2] \log (2 K[2])dK[2]+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.235 (sec), leaf count = 75
\[y \relax (x ) = \frac {{\mathrm e}^{\int \frac {-x \ln \relax (2)-x \ln \relax (x )-\tanh \relax (x )}{x \tanh \relax (x )}d x}}{\int -\frac {{\mathrm e}^{\int \frac {-x \ln \relax (2)-x \ln \relax (x )-\tanh \relax (x )}{x \tanh \relax (x )}d x} \left (\ln \relax (2)+\ln \relax (x )\right ) x}{\tanh \relax (x )}d x +c_{1}}\]