0; L(δ (t−a)) = F(s) is " > 0; L(δ (t−a)) = F(s) is ">

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GATE Mechanical Engineering (ME) 2021 Shift 1 Solved Paper

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Question : 13

Total: 65

The Dirac-delta function (δ(t - t₀)) for t, t₀ ∈ R, has the following property
∫abφ(t)δ(t−t0)dt={

φ(t0)	a<t0<b
0	‌otherwise‌

.
The Laplace transform of the Dirac-delta function δ(t - a) for a > 0; L(δ(t−a))=F(s) is

e^as
e^-as
∞
0

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