I want to solve this differential equation:
$ C \cdot y(t)\frac{d}{dt} = x(t) - y(t) $
$x(t)$ and $y(t)$ are two ordinary functions of t, C is a constant - all in in $R$
I am trying to solve it towards $y(t)$. The solution I am looking for looks something like this:
$ y(t) = e^{\int{x(t)dt}} + C $
So $\int{x(t)dt}$ can stay - but how will the rest look like and could you show me the individual steps and name the method how to solve it?