\[ -e^{-\frac {x^{3/2}}{3}} x+y''(x)+\sqrt {x} y'(x)+\left (\frac {x}{4}+\frac {1}{4 \sqrt {x}}-9\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0672842 (sec), leaf count = 70
\[\left \{\left \{y(x)\to -\frac {1}{9} e^{3 x-\frac {1}{3} \left (\sqrt {x}+9\right ) x} x+c_1 e^{-\frac {1}{3} \left (\sqrt {x}+9\right ) x}+\frac {1}{6} c_2 e^{6 x-\frac {1}{3} \left (\sqrt {x}+9\right ) x}\right \}\right \}\] ✓ Maple : cpu = 0.104 (sec), leaf count = 28
\[\left \{y \left (x \right ) = -\frac {\left (-9 c_{1} \cosh \left (3 x \right )-9 c_{2} \sinh \left (3 x \right )+x \right ) {\mathrm e}^{-\frac {x^{\frac {3}{2}}}{3}}}{9}\right \}\]