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The Dirac-delta function (δ(t − t0 )) for t ,t0 ∈ R, has the following property 

The Laplace transform of the Dirac-delta function δ (t−a) for  a > 0;  
L{δ(t− a )} = F(s) is
  • a)
    0
  • b)
  • c)
    esa
  • d)
    e-sa
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The Dirac-delta function (δ(t − t0 )) for t ,t0 ∈ R, ...
δ(t − t0) = ∞, t = t0
δ(t − t0) = 0, t ≠ t0


For δ(t − t0) , Laplace transform will be, 
Laplace transform 

(for 0 < a< ∞ ) 
Hence, the correct option is (D). 
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The Dirac-delta function (δ(t − t0 )) for t ,t0 ∈ R, has the following propertyThe Laplace transform of the Dirac-delta function δ (t−a) for a > 0; L{δ(t− a )} = F(s) isa)0b)∞c)esad)e-saCorrect answer is option 'D'. Can you explain this answer?
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