Solution of the differential equation $\frac{dy}{dx}+ay=e^{mx}$ is :

$(a+m)y=e^{mx}+Ce^{-ax}$ $y=e^{mx}+Ce^{-ax}$ $(a+m)y=me^{mx}+C$ $y.e^{ax}=me^{mx}+C$

$(a+m)y=e^{mx}+Ce^{-ax}$