\[ 2 \left (1-x^2\right ) y(x) y'(x)+x \left (x^2-1\right ) y'(x)^2+x y(x)^2-x=0 \] ✓ Mathematica : cpu = 0.574123 (sec), leaf count = 79
\[\left \{\left \{y(x)\to x+2 x \sinh ^2\left (\frac {1}{2} \left (c_1-2 i \tan ^{-1}\left (\frac {\sqrt {x-1}}{\sqrt {x+1}}\right )\right )\right )\right \},\left \{y(x)\to x+2 x \sinh ^2\left (\frac {1}{2} \left (c_1+2 i \tan ^{-1}\left (\frac {\sqrt {x-1}}{\sqrt {x+1}}\right )\right )\right )\right \}\right \}\] ✓ Maple : cpu = 2.967 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) =-x,y \left ( x \right ) =\sqrt {-{{\it \_C1}}^{2}+1}+\sqrt {{x}^{2}-1}{\it \_C1} \right \} \]