\[ \left (x^2-1\right ) y'(x)-2 x y(x) \log (y(x))=0 \] ✓ Mathematica : cpu = 0.103174 (sec), leaf count = 22
\[\left \{\left \{y(x)\to e^{e^{c_1} x^2-e^{c_1}}\right \}\right \}\] ✓ Maple : cpu = 0.118 (sec), leaf count = 13
\[y \relax (x ) = {\mathrm e}^{c_{1} \left (x -1\right ) \left (1+x \right )}\]