Solution Found!
Given that oC 1 e-atu(t) ~ --, s+a ffi-e{ s} > ffi-e{- a}, determine the inverse Laplace
Chapter 9, Problem 9.9(choose chapter or problem)
QUESTION:
Given that
\(e^{-a t} u(t) \stackrel{\mathscr{L}}{\longleftrightarrow} \frac{1}{s+a}, \quad \operatorname{Re}\{s\}>\operatorname{Re}_{e}\{-a\},\)
determine the inverse Laplace transform of
\(X(s)=\frac{2(s+2)}{s^{2}+7 s+12}, \quad \operatorname{Re}_{e}\{s\}>-3\)
Questions & Answers
QUESTION:
Given that
\(e^{-a t} u(t) \stackrel{\mathscr{L}}{\longleftrightarrow} \frac{1}{s+a}, \quad \operatorname{Re}\{s\}>\operatorname{Re}_{e}\{-a\},\)
determine the inverse Laplace transform of
\(X(s)=\frac{2(s+2)}{s^{2}+7 s+12}, \quad \operatorname{Re}_{e}\{s\}>-3\)
ANSWER:Step 1 of 2
The given equation can be written as,