Engineering Board Exam Reviewer · Inverse Laplace Transforms · medium

Find the inverse Laplace transform of F(s)=6/s2+9.

1. 2 (3t)
2. 6 (3t)
3. (6t)
4. 3 (3t)

Answer

A. 2 (3t)

Solution

Write 6/s2+9=2·3/s2+9. Since L-1≤fta/s2+a2 = (at) with a=3: 2 (3t).

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