Question
Download Solution PDFThe inverse Laplace transform of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The Laplace transform of a general exponential signal is given by:
where 'a' is any positive integer.
Calculation:
Given:
Additional Information
Some common inverse Laplace transforms are:
|
F(s) |
ROC |
f(t) |
|
1 |
All s |
δ (t) |
|
|
Re (s) > 0 |
u(t) |
|
|
Re (s) > 0 |
t |
|
|
Re (s) > 0 |
tn |
|
|
Re (s) > -a |
e-at |
|
|
Re (s) > -a |
t e-at |
|
|
Re (s) > -a |
tn e-at |
|
|
Re (s) > 0 |
sin at |
|
|
Re (s) > 0 |
cos at |
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