\[
\boxed{
 \left( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right)  \right) y \left( x \right) - \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}+ \left( \tan \left( x \right) +\cot \left( x \right)  \right) y \left( x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left(  \left( \cos \left( x \right)  \right) ^{2}-{n}^{2} \left( \cot \left( x \right)  \right) ^{2} \right)  \left( y \left( x \right)  \right) ^{2}\ln  \left( y \left( x \right)  \right) =0}
\]