\[
\boxed{
 \left( x-3 \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) - \left( 4\,x-9 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( 3\,x-6 \right) y \left( x \right) =0}
\]