GATE EE 2015 Set 2 — Question 14
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Signals & Systems → Laplace & Z Transforms → Laplace Transform & ROC
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Question
The Laplace transform of is . The Laplace transform of is
Correct answer
(B) s^(-1/2)
Solution
Given and its Laplace transform .
We need to find the Laplace transform of .
Observe the relationship between and :
.
Using the property of Laplace transforms for derivatives:
Since , we have:
.
Therefore, the correct option is (B).
We need to find the Laplace transform of .
Observe the relationship between and :
.
Using the property of Laplace transforms for derivatives:
Since , we have:
.
Therefore, the correct option is (B).
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