\[ (3 a+b x) y'(x)+2 a x y''(x)+c y(x)=0 \] ✓ Mathematica : cpu = 0.0412271 (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 = 0.086 (sec), leaf count = 67
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {bx}{2\,a}}}}{{\sl M}\left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}}\right )}+{\it \_C2}\,{{\rm e}^{-{\frac {bx}{2\,a}}}}{{\sl U}\left ({\frac {3\,b-2\,c}{2\,b}},\,{\frac {3}{2}},\,{\frac {bx}{2\,a}}\right )} \right \} \]