\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( ax+b \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( {\it a1}\,{x}^{2}+{\it b1}\,x+{\it c1} \right) y \left( x \right) =0}
\]