Question
Download Solution PDFe-at sin ωt u(t) का लाप्लास रूपांतर ______ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
द्विपक्षीय लाप्लास रूपांतर:
एकपक्षीय लाप्लास रूपांतर:
कुछ महत्वपूर्ण लाप्लास रूपांतर:
|
|
f(t) |
f(s) |
ROC |
|
1. |
δ(t) |
1 |
संपूर्ण s-तल |
|
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) |
11/s |
s > 0 |
गणना:
आवृत्ति अवकल गुण लागू करके,
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