\[ 2 \left (x^2-1\right ) x y'(x)+2 \left (x^2-1\right ) y(x)^2-\left (3 x^2-5\right ) y(x)+x^2-3=0 \] ✓ Mathematica : cpu = 0.0786962 (sec), leaf count = 52
\[\left \{\left \{y(x)\to \frac {\sqrt {x}}{c_1 \sqrt {1-x^2}-2 \sqrt {1-\frac {1}{x^2}} x F\left (\left .\sin ^{-1}\left (\frac {1}{\sqrt {x}}\right )\right |-1\right )}+1\right \}\right \}\]
✓ Maple : cpu = 0.178 (sec), leaf count = 63
\[ \left \{ y \left ( x \right ) =1-2\,{\frac {\sqrt {x}}{\sqrt {x-1}\sqrt {1+x}} \left ( {\it \_C1}-2\,{\frac {{\it EllipticF} \left ( \sqrt {1+x},1/2\,\sqrt {2} \right ) \sqrt {-x}\sqrt {-2\,x+2}\sqrt {2}}{\sqrt {2\,x-2}\sqrt {x}}} \right ) ^{-1}} \right \} \]