\[ y''(x)=-\frac {2 (a+x) y'(x)}{x^2}-\frac {b y(x)}{x^4} \] ✓ Mathematica : cpu = 0.0123503 (sec), leaf count = 89
\[\left \{\left \{y(x)\to c_1 e^{-\frac {\sqrt {b} \left (-\frac {\sqrt {a^2-b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{x}}+c_2 e^{-\frac {\sqrt {b} \left (\frac {\sqrt {a^2-b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{x}}\right \}\right \}\] ✓ Maple : cpu = 0.046 (sec), leaf count = 43
\[\left \{y \left (x \right ) = c_{1} {\mathrm e}^{\frac {a -\sqrt {a^{2}-b}}{x}}+c_{2} {\mathrm e}^{\frac {a +\sqrt {a^{2}-b}}{x}}\right \}\]