\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) \sqrt {x}+ \left ( 1/4\,{\frac {1}{\sqrt {x}}}+x/4-9 \right ) y \left ( x \right ) -x{{\rm e}^{-1/3\,{x}^{3/2}}}=0} \]
Mathematica: cpu = 0.076010 (sec), leaf count = 70 \[ \left \{\left \{y(x)\to c_1 e^{-\frac {1}{3} \left (\sqrt {x}+9\right ) x}+\frac {1}{6} c_2 e^{6 x-\frac {1}{3} \left (\sqrt {x}+9\right ) x}-\frac {1}{9} e^{3 x-\frac {1}{3} \left (\sqrt {x}+9\right ) x} x\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {1}{3}{x}^{{\frac {3}{2 }}}}}}\sinh \left ( 3\,x \right ) {\it \_C2}+{{\rm e}^{-{\frac {1}{3}{x} ^{{\frac {3}{2}}}}}}\cosh \left ( 3\,x \right ) {\it \_C1}-{\frac {x}{9} {{\rm e}^{-{\frac {1}{3}{x}^{{\frac {3}{2}}}}}}} \right \} \]