\[ \left (x^2-1\right ) y'(x)+y(x)^2-2 x y(x)+1=0 \] ✓ Mathematica : cpu = 0.145993 (sec), leaf count = 46
\[\left \{\left \{y(x)\to -\frac {x \left (1-x^2\right )}{x^2-1}+\frac {1}{\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.126 (sec), leaf count = 14
\[y \relax (x ) = x +\frac {1}{c_{1}-\arctanh \relax (x )}\]