\[ \boxed { \left ( {x}^{2}+x-2 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {x}^{2}-x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( 6\,{x}^{2}+7\,x \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.088511 (sec), leaf count = 69 \[ \left \{\left \{y(x)\to \frac {1}{5} c_2 e^{-3 x-5} \left (195 e^{5 x} x \text {Ei}(5-5 x)-195 e^{5 x} \text {Ei}(5-5 x)+e^5 x+44 e^5\right )-c_1 e^{2 x} (x-1)\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 44 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{2\,x}} \left ( x-1 \right ) +{\it \_C2}\, \left ( 195\,{{\rm e}^{-5+2\,x}} \left ( x-1 \right ) {\it Ei} \left ( 1,5\,x-5 \right ) -{{\rm e}^{-3\,x}} \left ( x+ 44 \right ) \right ) \right \} \]