\[ \left (x^2-1\right ) y'(x)+y(x)^2-2 x y(x)+1=0 \] ✓ Mathematica : cpu = 0.0188215 (sec), leaf count = 46
\[\left \{\left \{y(x)\to \frac {1}{c_1+\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)}-\frac {x \left (1-x^2\right )}{x^2-1}\right \}\right \}\] ✓ Maple : cpu = 0.112 (sec), leaf count = 14
\[ \left \{ y \left ( x \right ) =x+ \left ( {\it \_C1}-{\it Artanh} \left ( x \right ) \right ) ^{-1} \right \} \]