Chapter 7.3, Problem 8P

Program Plan Intro

Program Description: Purpose of problem is to obtain the inverse Laplace transformation of the functions $F\left(s\right)=\frac{s+2}{s^2+4s+5}$ by using translation theorem.

Summary introduction: The translation theorem is defined as if $F\left(s\right)=L\left\{f\left(t\right)\right\}$ exists for $s>c$ , then $L\left\{e^{at}f\left(t\right)\right\}$ exists for $s>a+c$ and $L^{-1}\left\{a\cdot f\left(t\right)\right\}=a{L}^{-1}\left\{f\left(t\right)\right\}$ .