Take into account that:
I got the following differential equation :
Transforming this into a Laplace equation and computing the transfer function, I get :
Where I get into trouble is to obtain the inverse transformation. It seems probably silly. I do not have any problem solving more complex equations using partial fractions, but trying, this does not seem to apply here :
What am I missing here?
into simple fractions to find its inverse as a piecewise continuous and exponential order function not as a distribution. For that reason I talked about the non zero limit.