\[ \boxed { \left ( {x}^{2}-1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2=0} \]
Mathematica: cpu = 0.028004 (sec), leaf count = 38 \[ \left \{\left \{y(x)\to \log \left (\sqrt {x^2-1}+x\right ) \left (c_1-\log \left (\sqrt {x^2-1}+x\right )\right )+c_2\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 57 \[ \left \{ y \left ( x \right ) =\int \!{1 \left ( -2\,\sqrt {{x}^{2}-1} \ln \left ( x+\sqrt {{x}^{2}-1} \right ) \sqrt {x-1}\sqrt {1+x}+{\it \_C1}\,{x}^{2}-{\it \_C1} \right ) \left ( 1+x \right ) ^{-{\frac {3}{2} }} \left ( x-1 \right ) ^{-{\frac {3}{2}}}}\,{\rm d}x+{\it \_C2} \right \} \]