\[ x \left (x^2+1\right ) y^{(3)}(x)+3 \left (2 x^2+1\right ) y''(x)-12 y(x)=0 \] ✓ Mathematica : cpu = 0.270538 (sec), leaf count = 96
\[\left \{\left \{y(x)\to \frac {4 c_1 x^3+2 c_2 \sqrt {x^2+1} x^2+3 c_3 x^2+3 c_3 \sqrt {x^2+1} x^2 \log (x)-3 c_3 \sqrt {x^2+1} x^2 \log \left (\sqrt {x^2+1}+1\right )+2 c_1 x+c_3}{6 x}\right \}\right \}\]
✓ Maple : cpu = 0.519 (sec), leaf count = 60
\[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( 3\,\sqrt {{x}^{2}+1}{\it Artanh} \left ( {\frac {1}{\sqrt {{x}^{2}+1}}} \right ) {\it \_C2}\,{x}^{2}+{\it \_C1}\,\sqrt {{x}^{2}+1}{x}^{2}+2\,{\it \_C3}\,{x}^{3}-3\,{\it \_C2}\,{x}^{2}+{\it \_C3}\,x-{\it \_C2} \right ) } \right \} \]