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