\[ -\left (4 x^2+2\right ) x^2 y''(x)+\left (10 x^2+4\right ) x y'(x)-4 \left (3 x^2+1\right ) y(x)+\left (x^2+1\right ) x^3 y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.138987 (sec), leaf count = 46
\[\left \{\left \{y(x)\to \frac {1}{2} x \left (c_2 x^2-2 c_1 \left (x^2-3 x+1\right )-2 c_2 x+c_3 x+c_3 x \log (x)+c_2\right )\right \}\right \}\]
✓ Maple : cpu = 0.475 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) =x \left ( \ln \left ( x \right ) {\it \_C2}\,x+{\it \_C3}\,{x}^{2}+ \left ( {\it \_C1}+{\it \_C2} \right ) x+{\it \_C3} \right ) \right \} \]