# Relating x(t) and y(t) through Laplace transform

## Main Question or Discussion Point

Hi,
x(t) and y(t) are two time dependent variables. They are related by:
y(t) = x(t), x(t) >= 0
= 0, otherwise

Can a relation between X(s) and Y(s) be derived?

What are the formulas for $X(s)$ and $Y(s)$ normally? The only difficulty seems to be what happens if $y\equiv 0$.