I was wondering what should be particular integral in case of $ln(ax+by)$.
In case it is homogeneous equation : $$P.I = (F(a,b))^{-1}\iiint \ln(v) \ dv\ dv\ \ldots$$ $$ v = ax+by $$
F(a,b) by putting values in differential equation.
Number of $dv$ depending upon order of homogeneous equation.
However, what would be P.I in case of non-homogeneous equation ?