\[ \boxed { \left ( {x}^{2}+1 \right ) {x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) - \left ( 4\,{x}^{2}+2 \right ) {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( 10\,{x}^{2}+4 \right ) x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -4\, \left ( 3\,{x}^{2}+1 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.118515 (sec), leaf count = 74 \[ \left \{\left \{y(x)\to c_1 \left (-x^3+3 x^2-x\right )+\frac {1}{2} c_2 \left (x^3-2 x^2+x\right )-\frac {c_3 x \left (-x^3+3 x^2-x\right ) (\log (x)+1)}{2 \left (x^2-3 x+1\right )}\right \}\right \} \]
Maple: cpu = 0.359 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,{x}^{2} \left ( \ln \left ( x \right ) +1 \right ) +{\it \_C3}\, \left ( {x}^{3}+ x \right ) \right \} \]