Develop a transfer function model for a first$-$order process described with the following ODE:

${}_p\frac{dy}{dt}=-y+k_{p}u,y(0)=0$

Assume that $y$ and $u$ are both functions of time, $u$ describes the input variable and $y$ the output.

Use the initial$-$ and final$-$value theorems to determine the initial and final values of the process

output described with the transfer function $G(s).$