Question
Download Solution PDFThe Laplace transform of e-at sin ωt u(t) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Bilateral Laplace transform:
Unilateral Laplace transform:
Some important Laplace transforms:
|
|
f(t) |
f(s) |
ROC |
|
1. |
δ(t) |
1 |
Entire s-plane |
|
2. |
e-at u(t) |
|
s > - a |
|
3. |
e-at u(-t) |
|
s < - a |
|
4. |
cos ω0 t u(t) |
|
s > 0 |
|
5. |
te-at u(t) |
|
s > - a |
|
6. |
sin ω0t u(t) |
|
s > 0 |
|
7. |
u(t) |
1/s |
s > 0 |
Calculation:
By applying frequency differentiation property,
Last updated on May 9, 2025
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