\[ \boxed { 2\,ax{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( bx+a \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +cy \left ( x \right ) =0} \]
Mathematica: cpu = 0.045006 (sec), leaf count = 93 \[ \left \{\left \{y(x)\to c_1 e^{\frac {a \log (x)-b x}{2 a}} U\left (-\frac {c-b}{b},\frac {3}{2},\frac {b x}{2 a}\right )+c_2 e^{\frac {a \log (x)-b x}{2 a}} L_{\frac {c-b}{b}}^{\frac {1}{2}}\left (\frac {b x}{2 a}\right )\right \}\right \} \]
Maple: cpu = 0.078 (sec), leaf count = 67 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {bx}{2\,a}} }}{{\sl M}\left ({\frac {b-c}{b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}} \right )}\sqrt {x}+{\it \_C2}\,{{\rm e}^{-{\frac {bx}{2\,a}}}}{{\sl U} \left ({\frac {b-c}{b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}}\right )} \sqrt {x} \right \} \]