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[5/(s+1)]exp(-2s)

I was thinking of using the second shift theorem to no avail.

I have tried the question and my answer is :

5(exp-t)u(t-2)

This does not seem to be a plausible answer since I modified the second

shift theorem.

{If only the question was to inverse [5/(s+2)]exp(-2s),

then my answer would have been 5(exp-2t)u(t-2) (which hopefully is right).

However the question is different.}