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