\[ -\left (2 a x^2+1\right ) y'(x)+b x^3 y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0094349 (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 = 0.058 (sec), leaf count = 45
\[y \relax (x ) = c_{1} {\mathrm e}^{\frac {x^{2} \left (\sqrt {a^{2}-b}+a \right )}{2}}+c_{2} {\mathrm e}^{-\frac {x^{2} \left (\sqrt {a^{2}-b}-a \right )}{2}}\]