\[ -e^{-\frac {x^{3/2}}{3}} x+y''(x)+\sqrt {x} y'(x)+\left (\frac {x}{4}+\frac {1}{4 \sqrt {x}}-9\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0587448 (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 = 0.084 (sec), leaf count = 28
\[y \relax (x ) = -\frac {{\mathrm e}^{-\frac {x^{\frac {3}{2}}}{3}} \left (-9 \cosh \left (3 x \right ) c_{1}-9 \sinh \left (3 x \right ) c_{2}+x \right )}{9}\]