\[ y''(x)=\frac {(a+b) y'(x)}{x^2}-\frac {y(x) (x (a+b)+a b)}{x^4} \] ✓ Mathematica : cpu = 0.330141 (sec), leaf count = 87
\[\left \{\left \{y(x)\to c_1 x e^{-\frac {-\sqrt {(a-b)^2}+a+b}{2 x}}+\frac {c_2 x e^{-\frac {\sqrt {(a-b)^2}}{2 x}-\frac {a}{2 x}-\frac {b}{2 x}}}{\sqrt {(a-b)^2}}\right \}\right \}\]
✓ Maple : cpu = 0.052 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,x{{\rm e}^{-{\frac {a}{x}}}}+{\it \_C2}\,x{{\rm e}^{-{\frac {b}{x}}}} \right \} \]