Laplace Transforms: Real Translation Theorem

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I think that inverse Laplace of the second term should be (1/2)e^(-t/2)

achal.gambhir
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the first term in the expression of y should be: 2 exp(-1/2)t

azizbazoune
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The coefficient of both term is incorrect .for first term there would be 2 instead of 4 and for second term coefficient will be 1/2

MonuKumar-hvbd
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Base on what you said, if we insert any number between 1 to 3 in first term, the result should be 0. Because it is dead time. However it is not.

markentezari
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I think the answer should be divided by 2
am I right?

mohamedsarhan