Page 243 - Schaum's Outline of Differential Equations
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226 INVERSE LAPLACE TRANSFORMS [CHAP. 22
22.3. Find
From entry 9 of Appendix A with a = we have
Therefore,
22.4. Find
The given function is similar in form to entry 12 of Appendix A. The denominators become identical if we take
a = 1. Manipulating the numerator of the given function and using Property 22.1, we obtain
22.5. Find
The given function is similar in form to entry 5 of Appendix A. Their denominators are identical; manipulating
the numerator of the given function and using Property 22.1, we obtain
22.6. Find
The denominator of this function is identical to the denominator of entries 10 and 11 of Appendix A with a = 3.
Using Property 22.1 followed by a simple algebraic manipulation, we obtain
22.7. Find
The denominator of this function is identical to the denominators of entries 15 and 16 of Appendix A witha = 3
and b = 2. Both the given function and entry 16 have the variable s in their numerators, so they are the most closely
matched. Manipulating the numerator of the given function and using Property 22.1, we obtain
