\[ -e^{-\frac {x^{3/2}}{3}} x+y''(x)+\sqrt {x} y'(x)+\left (\frac {x}{4}+\frac {1}{4 \sqrt {x}}-9\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.101153 (sec), leaf count = 45
\[\left \{\left \{y(x)\to \frac {1}{18} e^{-\frac {1}{3} \left (\sqrt {x}+9\right ) x} \left (3 c_2 e^{6 x}+18 c_1-2 e^{3 x} x\right )\right \}\right \}\]
✓ Maple : cpu = 0.09 (sec), leaf count = 28
\[ \left \{ y \left ( x \right ) =-{\frac {-9\,\cosh \left ( 3\,x \right ) {\it \_C1}-9\,\sinh \left ( 3\,x \right ) {\it \_C2}+x}{9}{{\rm e}^{-{\frac {1}{3}{x}^{{\frac {3}{2}}}}}}} \right \} \]