What is the solution of the differential equation $\ln \left(\frac{dy}{dx}\right)-a=0$?

Given the equation:
$$\ln \left(\frac{dy}{dx}\right)=a$$
Converting from logarithmic form to exponential form:
$$\frac{dy}{dx}=e^a$$
Since $e^a$ is a constant, we integrate both sides with respect to $x$:
$$\int dy=\int e^{a}dx$$
$$y=x{e}^a+c$$