\[ 2 \left (1-x^2\right ) y(x) y'(x)+x \left (x^2-1\right ) y'(x)^2+x y(x)^2-x=0 \] ✓ Mathematica : cpu = 0.122194 (sec), leaf count = 61
\[\left \{\left \{y(x)\to x \cos \left (2 \tan ^{-1}\left (\sqrt {\frac {x-1}{x+1}}\right )+i c_1\right )\right \},\left \{y(x)\to x \cos \left (2 \tan ^{-1}\left (\sqrt {\frac {x-1}{x+1}}\right )-i c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.753 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) =-x,y \left ( x \right ) =\sqrt {-{{\it \_C1}}^{2}+1}+\sqrt {{x}^{2}-1}{\it \_C1} \right \} \]