\[ \left (2 n+3 x^2-1\right ) y(x)-4 x y'(x)+y''(x)=0 \] ✓ Mathematica : cpu = 0.0090219 (sec), leaf count = 45
\[\left \{\left \{y(x)\to c_1 e^{\frac {x^2}{2}} H_n(x)+c_2 e^{\frac {x^2}{2}} \, _1F_1\left (-\frac {n}{2};\frac {1}{2};x^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.348 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{2}}{2}}}}x \left ( {{\sl U}\left (-{\frac {n}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{x}^{2}\right )}{\it \_C2}+{{\sl M}\left (-{\frac {n}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{x}^{2}\right )}{\it \_C1} \right ) \right \} \]