\[
\boxed{
x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -2\, \left( ax+b \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( {a}^{2}x+2\,ab \right) y \left( x \right) =0}
\]