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