\[ -(4 x+2) x^2 y''(x)+(x+1) x^3 y^{(3)}(x)+(10 x+4) x y'(x)-4 (3 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.0465755 (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 = 0.319 (sec), leaf count = 28
\[ \left \{ y \left ( x \right ) =x \left ( \left ( \ln \left ( x \right ) \right ) ^{2}{\it \_C3}\,x+{\it \_C2}\,x\ln \left ( x \right ) +{\it \_C3}\,{x}^{2}+{\it \_C1}\,x+{\it \_C3} \right ) \right \} \]