\[ x^2 y^{(4)}(x)+2 y''(x)+4 x y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0073097 (sec), leaf count = 29
\[\{\{y(x)\to c_2 (-x)+c_4 x+c_2 x \log (x)-c_1 \log (x)+c_3\}\}\] ✓ Maple : cpu = 0.008 (sec), leaf count = 17
\[ \left \{ y \left ( x \right ) = \left ( {\it \_C4}\,x+{\it \_C2} \right ) \ln \left ( x \right ) +{\it \_C3}\,x+{\it \_C1} \right \} \]