\[ (x+1) x^3 y^{(3)}(x)-(4 x+2) x^2 y''(x)+(10 x+4) x y'(x)-4 (3 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.067889 (sec), leaf count = 35
\[\left \{\left \{y(x)\to c_1 x^2+c_3 x^2 \left (x+\frac {1}{x}+\log ^2(x)\right )+c_2 x^2 \log (x)\right \}\right \}\]
✓ Maple : cpu = 0.451 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,{x}^{2}\ln \left ( x \right ) +{\it \_C3}\, \left ( x \left ( \ln \left ( x \right ) \right ) ^{2}+{x}^{2}+1 \right ) x \right \} \]