\[ (3 a+b x) y'(x)+2 a x y''(x)+c y(x)=0 \] ✓ Mathematica : cpu = 0.0466609 (sec), leaf count = 69
\[\left \{\left \{y(x)\to e^{-\frac {b x}{2 a}} \left (c_1 U\left (\frac {3}{2}-\frac {c}{b},\frac {3}{2},\frac {b x}{2 a}\right )+c_2 L_{\frac {c}{b}-\frac {3}{2}}^{\frac {1}{2}}\left (\frac {b x}{2 a}\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.083 (sec), leaf count = 60
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {bx}{2\,a}}}} \left ( {{\sl U}\left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}}\right )}{\it \_C2}+{{\sl M}\left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}}\right )}{\it \_C1} \right ) \right \} \]