\[ y''(x)=-\frac {2 (a+x) y'(x)}{x^2}-\frac {b y(x)}{x^4} \] ✓ Mathematica : cpu = 0.0153945 (sec), leaf count = 51
\[\left \{\left \{y(x)\to e^{\frac {a-\sqrt {a^2-b}}{x}} \left (c_1 e^{\frac {2 \sqrt {a^2-b}}{x}}+c_2\right )\right \}\right \}\]
✓ Maple : cpu = 0.043 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {1}{x} \left ( a-\sqrt {{a}^{2}-b} \right ) }}}+{\it \_C2}\,{{\rm e}^{{\frac {1}{x} \left ( \sqrt {{a}^{2}-b}+a \right ) }}} \right \} \]