The input $x(t)$ to a system is related to its output $y(t)$ as
$$\frac{dy(t)}{dt} + y(t) = 3x (t-3)u (t-3)$$
Here $u(t)$ represents a unit-step function.
The transfer function of this system is __________
- $\dfrac{e^{-3s}}{s+3}$
- $\dfrac{3e^{-3s}}{s+1}$
- $\dfrac{3e^{- (s/3)}}{s+1}$
- $\dfrac{e^{-(s/3)}}{s+3}$