\[ a x y''(x)+b y'(x)+c y(x)=0 \] ✓ Mathematica : cpu = 0.0370475 (sec), leaf count = 190
\[\left \{\left \{y(x)\to c_1 a^{\frac {1}{2} \left (\frac {b}{a}-1\right )} c^{\frac {1}{2} \left (1-\frac {b}{a}\right )} x^{\frac {1}{2} \left (1-\frac {b}{a}\right )} \Gamma \left (\frac {b}{a}\right ) J_{\frac {b}{a}-1}\left (\frac {2 \sqrt {c} \sqrt {x}}{\sqrt {a}}\right )+c_2 a^{\frac {1}{2} \left (1-\frac {b}{a}\right )-\frac {a-b}{a}} c^{\frac {a-b}{a}+\frac {1}{2} \left (\frac {b}{a}-1\right )} x^{\frac {a-b}{a}+\frac {1}{2} \left (\frac {b}{a}-1\right )} \Gamma \left (2-\frac {b}{a}\right ) J_{1-\frac {b}{a}}\left (\frac {2 \sqrt {c} \sqrt {x}}{\sqrt {a}}\right )\right \}\right \}\] ✓ Maple : cpu = 0.098 (sec), leaf count = 66
\[ \left \{ y \left ( x \right ) ={x}^{{\frac {a-b}{2\,a}}} \left ( {{\sl Y}_{{\frac {-a+b}{a}}}\left (2\,\sqrt {{\frac {c}{a}}}\sqrt {x}\right )}{\it \_C2}+{{\sl J}_{{\frac {-a+b}{a}}}\left (2\,\sqrt {{\frac {c}{a}}}\sqrt {x}\right )}{\it \_C1} \right ) \right \} \]