\[ -\left (2 a x^2+1\right ) y'(x)+b x^3 y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0106146 (sec), leaf count = 91
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} \sqrt {b} x^2 \left (\frac {a}{\sqrt {b}}-\frac {\sqrt {a^2-b}}{\sqrt {b}}\right )}+c_2 e^{\frac {1}{2} \sqrt {b} x^2 \left (\frac {\sqrt {a^2-b}}{\sqrt {b}}+\frac {a}{\sqrt {b}}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.073 (sec), leaf count = 45
\[\left \{y \left (x \right ) = c_{1} {\mathrm e}^{\frac {\left (a +\sqrt {a^{2}-b}\right ) x^{2}}{2}}+c_{2} {\mathrm e}^{-\frac {\left (-a +\sqrt {a^{2}-b}\right ) x^{2}}{2}}\right \}\]