\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac { \left ( {x}^{2}-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( {x}^{2}-1 \right ) }}-{\frac { \left ( {x}^{2}-2 \right ) y \left ( x \right ) }{{x}^{2} \left ( {x}^{2}-1 \right ) }}=0} \]
Mathematica: cpu = 0.065008 (sec), leaf count = 66 \[ \left \{\left \{y(x)\to \frac {c_1 x \sqrt [4]{x^2-1}}{\sqrt [4]{1-x^2}}+\frac {c_2 x \sqrt [4]{x^2-1} \log \left (\sqrt {x^2-1}+x\right )}{\sqrt [4]{1-x^2}}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) =x{\it \_C1}+{\it \_C2}\,x\ln \left ( x+ \sqrt {{x}^{2}-1} \right ) \right \} \]