\[ \boxed { 2\,ax{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( bx+3\,a \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +cy \left ( x \right ) =0} \]
Mathematica: cpu = 0.039505 (sec), leaf count = 88 \[ \left \{\left \{y(x)\to c_1 e^{-\frac {b x}{2 a}} U\left (-\frac {2 c-3 b}{2 b},\frac {3}{2},\frac {b x}{2 a}\right )+c_2 e^{-\frac {b x}{2 a}} L_{\frac {2 c-3 b}{2 b}}^{\frac {1}{2}}\left (\frac {b x}{2 a}\right )\right \}\right \} \]
Maple: cpu = 0.063 (sec), leaf count = 67 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {bx}{2\,a}} }}{{\sl M}\left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {b x}{2\,a}}\right )}+{\it \_C2}\,{{\rm e}^{-{\frac {bx}{2\,a}}}}{{\sl U} \left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}} \right )} \right \} \]