Given the differential equation of a current controlled electric actuator, how would I convert the differential equation into its Laplace transform?
$$ J \frac{d^2 \phi(t)}{dt^2} + D \frac{d \phi(t)}{dt} + H \phi(t) = K i(t) = 0 $$
I know the reason you're meant to convert this to laplace is because it's easier to work with but I'm finding it difficult to understand why you do certain things in certain parts.
Any concrete method on how to convert this would be appreciated.