\[ \boxed { \left ( {x}^{2}+3\,x+4 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {x}^{2}+x+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( 2\,x+3 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.064008 (sec), leaf count = 23 \[ \left \{\left \{y(x)\to c_2 \left (x^2+x+3\right )+c_1 e^{-x}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-x}}+{\it \_C2}\, \left ( {x}^{2}+x+3 \right ) \right \} \]