Engineering Board Exam Reviewer · Laplace Transforms · medium

Find the Laplace transform of f(t)=e-t 2t.

1. s + 1≤ft(s + 1 )2 + 4
2. s - 1≤ft(s - 1 )2 + 4
3. 2≤ft(s + 1 )2 + 4
4. ss2 + 4

Answer

A. s + 1≤ft(s + 1 )2 + 4

Solution

L 2t=s/s2+4. Replacing s with s+1 (first shifting theorem): s+1/(s+1)2+4.

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