\[ y''(x)=\frac {\left (2 x^2+1\right ) y'(x)}{x^3}-\frac {\left (a x^4+10 x^2+1\right ) y(x)}{4 x^6} \] ✓ Mathematica : cpu = 0.0759993 (sec), leaf count = 77
\[\left \{\left \{y(x)\to c_1 e^{-\frac {1}{4 x^2}} x^{\frac {3}{2}-\frac {\sqrt {9-a}}{2}}+\frac {c_2 e^{-\frac {1}{4 x^2}} x^{\frac {\sqrt {9-a}}{2}+\frac {3}{2}}}{\sqrt {9-a}}\right \}\right \}\] ✓ Maple : cpu = 0.087 (sec), leaf count = 42
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {1}{4\,{x}^{2}}}}} \left ( {x}^{{\frac {3}{2}}-{\frac {1}{2}\sqrt {-a+9}}}{\it \_C2}+{x}^{{\frac {3}{2}}+{\frac {1}{2}\sqrt {-a+9}}}{\it \_C1} \right ) \right \} \]