\[ \boxed { \left ( {x}^{2}-5\,x+6 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +3\,xy \left ( x \right ) -8\,y \left ( x \right ) +{x}^{2}=0} \]
Mathematica: cpu = 0.013002 (sec), leaf count = 53 \[ \left \{\left \{y(x)\to \frac {c_1}{(2-x)^2 (3-x)}+\frac {\frac {x^4}{4}-\frac {2 x^3}{3}}{(2-x)^2 (3-x)}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\frac {1}{ \left ( x-2 \right ) ^{2} \left ( x-3 \right ) } \left ( -{\frac {{x}^{4}}{4}}+{\frac {2\,{x}^{3} }{3}}+{\it \_C1} \right ) } \right \} \]