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MATH 231, Worksheet

Date: May 8, 2020

Find the inverse Laplace transform for each function.

1. F (s) =e�⇡s/2

s2 + 9

2. F (s) =1

s2(s2 + 4)

3. F (s) =s

s2 + 6s+ 11

4. F (s) = e�s s

s2 + 6s+ 11

5. F (s) =1

(s� 1)3+

1

s2 + 2s� 8

6. F (s) = e�2s 1

(s� 1)3+ e�s 1

s2 + 2s� 8

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