\[ 2 \left (x^2-1\right ) x y'(x)+2 \left (x^2-1\right ) y(x)^2-\left (3 x^2-5\right ) y(x)+x^2-3=0 \] ✓ Mathematica : cpu = 0.149054 (sec), leaf count = 49
\[\left \{\left \{y(x)\to \frac {\sqrt {x}}{\sqrt {1-x^2} \left (c_1+2 \sqrt {x} \, _2F_1\left (\frac {1}{4},\frac {1}{2};\frac {5}{4};x^2\right )\right )}+1\right \}\right \}\] ✓ Maple : cpu = 0.144 (sec), leaf count = 61
\[ \left \{ y \left ( x \right ) =1-2\,{\frac {\sqrt {x}}{\sqrt {x-1}\sqrt {1+x}} \left ( {\it \_C1}-2\,{\frac {{\it EllipticF} \left ( \sqrt {1+x},1/2\,\sqrt {2} \right ) \sqrt {-x}\sqrt {2}\sqrt {1-x}}{\sqrt {x-1}\sqrt {x}}} \right ) ^{-1}} \right \} \]