\[ y''(x)=-\frac {c y(x)}{x^2 (a x+b)^2}-\frac {2 y'(x)}{x} \] ✓ Mathematica : cpu = 0.0593806 (sec), leaf count = 73
\[\left \{\left \{y(x)\to \left (c_2 e^{\frac {\sqrt {b^2-4 c} (\log (x)-\log (a x+b))}{b}}+c_1\right ) \exp \left (-\frac {\left (\sqrt {b^2-4 c}+b\right ) (\log (x)-\log (a x+b))}{2 b}\right )\right \}\right \}\]
✓ Maple : cpu = 0.12 (sec), leaf count = 79
\[ \left \{ y \left ( x \right ) =\sqrt {{\frac {ax+b}{x}}} \left ( \left ( {\frac {x}{ax+b}} \right ) ^{-{\frac {a}{2\,b}\sqrt {{\frac {{b}^{2}-4\,c}{{a}^{2}}}}}}{\it \_C2}+ \left ( {\frac {x}{ax+b}} \right ) ^{{\frac {a}{2\,b}\sqrt {{\frac {{b}^{2}-4\,c}{{a}^{2}}}}}}{\it \_C1} \right ) \right \} \]