What is the solution of the differential equation \(\ln \left( {\frac{{{\rm{dy}}}}{{{\rm{dx}}}}} \right) = {\rm{ax}} + {\rm{by}}?\)
1
a eax + b eby = c
2
\(\frac{1}{a}{e^{ax}} + \frac{1}{b}{e^{by}} = c\)
3
a eax + b e-by = c
4
\(\frac{1}{a}{e^{ax}} + \frac{1}{b}{e^{ - by}} = c\)