\[ -x^4+x^2 y''(x)+x^2-4 x y'(x)+6 y(x)=0 \] ✓ Mathematica : cpu = 0.0201662 (sec), leaf count = 38
\[\left \{\left \{y(x)\to c_2 x^3+c_1 x^2+\frac {1}{2} \left (x^4+2 x^2+2 x^2 \log (x)\right )\right \}\right \}\] ✓ Maple : cpu = 0.04 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2} \left ( 2\,{\it \_C1}\,x+{x}^{2}+2\,\ln \left ( x \right ) +2\,{\it \_C2}+2 \right ) }{2}} \right \} \]