\[
\boxed{
 \left( 3\,x-1 \right) ^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +3\, \left( 3\,x-1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) -9\,y \left( x \right) - \left( \ln  \left( 3\,x-1 \right)  \right) ^{2}=0}
\]