\[ y'(x)=\frac {x^4+x^3+x^2 y(x)^2+x y(x)^2+y(x) \log (x-1)}{x \log (x-1)} \] ✓ Mathematica : cpu = 0.0556494 (sec), leaf count = 34
\[\left \{\left \{y(x)\to x \tan \left (c_1+2 \text {Ei}(\log (x-1))+3 \text {Ei}(2 \log (x-1))+\text {Ei}(3 \log (x-1))\right )\right \}\right \}\] ✓ Maple : cpu = 0.058 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) =\tan \left ( -{\it Ei} \left ( 1,-3\,\ln \left ( x-1 \right ) \right ) -3\,{\it Ei} \left ( 1,-2\,\ln \left ( x-1 \right ) \right ) -2\,{\it Ei} \left ( 1,-\ln \left ( x-1 \right ) \right ) +{\it \_C1} \right ) x \right \} \]