\[ -\left (2 a x^2+1\right ) y'(x)+b x^3 y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.012895 (sec), leaf count = 53
\[\left \{\left \{y(x)\to e^{-\frac {1}{2} x^2 \left (\sqrt {a^2-b}-a\right )} \left (c_2 e^{x^2 \sqrt {a^2-b}}+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.089 (sec), leaf count = 45
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {{x}^{2}}{2} \left ( \sqrt {{a}^{2}-b}+a \right ) }}}+{\it \_C2}\,{{\rm e}^{-{\frac {{x}^{2}}{2} \left ( \sqrt {{a}^{2}-b}-a \right ) }}} \right \} \]