\[
\boxed{
{\it a2}\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( {\it a1}\,{x}^{2}+{\it b1}\,x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( {\it a0}\,{x}^{2}+{\it b0}\,x+{\it c0} \right) y \left( x \right) =0}
\]