\[ a y(x)+y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.007764 (sec), leaf count = 31
\[\left \{\left \{y(x)\to c_1 H_{\frac {a}{2}}(x)+c_2 \, _1F_1\left (-\frac {a}{4};\frac {1}{2};x^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.151 (sec), leaf count = 31
\[\left \{y \left (x \right ) = \left (c_{1} \KummerM \left (-\frac {a}{4}+\frac {1}{2}, \frac {3}{2}, x^{2}\right )+c_{2} \KummerU \left (-\frac {a}{4}+\frac {1}{2}, \frac {3}{2}, x^{2}\right )\right ) x\right \}\]