GATE EC 2014 Set 4 — Question 38
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Engineering Mathematics → Differential Equations → Laplace Transform & ROC
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Question
The unilateral Laplace transform of is . Which one of the following is the unilateral Laplace transform of ?
Correct answer
(D) (2s+1)/((s²+s+1)²)
Solution
Using the property of the Laplace transform for multiplication by :
Given
Differentiating with respect to :
Therefore, .
This matches option (D).
Given
Differentiating with respect to :
Therefore, .
This matches option (D).
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