\[ -a x^3 y(x)+x y''(x)-y'(x)=0 \] ✓ Mathematica : cpu = 0.0085315 (sec), leaf count = 41
\[\left \{\left \{y(x)\to c_1 \cosh \left (\frac {\sqrt {a} x^2}{2}\right )+i c_2 \sinh \left (\frac {\sqrt {a} x^2}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.01 (sec), leaf count = 27
\[\left \{y \left (x \right ) = c_{1} \sinh \left (\frac {\sqrt {a}\, x^{2}}{2}\right )+c_{2} \cosh \left (\frac {\sqrt {a}\, x^{2}}{2}\right )\right \}\]