\[ a x y''(x)+b y'(x)+c y(x)=0 \] ✓ Mathematica : cpu = 0.0522576 (sec), leaf count = 120
\[\left \{\left \{y(x)\to a^{\frac {1}{2} \left (\frac {b}{a}-1\right )} c^{\frac {a-b}{2 a}} x^{\frac {a-b}{2 a}} \left (c_1 \Gamma \left (\frac {b}{a}\right ) J_{\frac {b}{a}-1}\left (\frac {2 \sqrt {c} \sqrt {x}}{\sqrt {a}}\right )+c_2 \Gamma \left (2-\frac {b}{a}\right ) J_{1-\frac {b}{a}}\left (\frac {2 \sqrt {c} \sqrt {x}}{\sqrt {a}}\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.036 (sec), leaf count = 66
\[ \left \{ y \left ( x \right ) ={x}^{{\frac {a-b}{2\,a}}} \left ( {{\sl Y}_{{\frac {-a+b}{a}}}\left (2\,\sqrt {{\frac {c}{a}}}\sqrt {x}\right )}{\it \_C2}+{{\sl J}_{{\frac {-a+b}{a}}}\left (2\,\sqrt {{\frac {c}{a}}}\sqrt {x}\right )}{\it \_C1} \right ) \right \} \]