I have a simple question,
There are some functions $f(t)$, $g(t)$ and lets say $F(s)$ and $G(s)$ for the form of Laplace transform of $f(t)$ and $g(t)$, respectively.
While I am solving differential equation with Laplace Transform,
I got this relationship
$$F(s)=\frac{f(0)}{s + G(s)}$$
how can I solve in terms of $f(t)$?
I looked up the convolution theorem but it is not a form of $f(t)*g(t)$
please help me
Thanks in advance