Page 247 - Schaum's Outline of Differential Equations
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230 INVERSE LAPLACE TRANSFORMS [CHAP. 22
22.16. Find
No function of this form appears in Appendix A. Using the results of Problem 22.14 and Property 22.1, we obtain
22.17. Find
Using the result of Problem 22.11, and noting that
we find that
22.18. Find
From Problem 22.12, we have
The first term can be evaluated easily if we note that
To evaluate the second inverse transforms, we must first complete the square in the denominator,
2
2
2
s + 4s + 8 = (s + 2) + (2) , and then note that
Therefore,
