Differential Equations: An Introduction To Modern Methods And Applications 3e Binder Ready Version + Wileyplus Registration Card
3rd Edition
ISBN: 9781119031871
Author: James R. Brannan; William E. Boyce
Publisher: Wiley (WileyPLUS Products)
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Chapter 2.2, Problem 18P
In each of Problems 13 through 20, find the solution of the given initial value problem.
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25.1. Expand each of the following functions f(z) in a Laurent series
on the indicated domain:
(a).
z² - 2z+5
(2-2)(z² + 1)'
(c). Log
za
2 b
(z -
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11, 29,
where b>a> 1 are real, |z| > b.
25.3. Find the Laurent series for the function z/[(22 + 1)(z² + 4)] in
the following domains (a). 02.
25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow-
ing domains: (a). 0<|z|< 1, (b). 1 <|z|, (c). 0<|z1|< 1, (d). 1<
|z1|, (e). 1<|z2|<2.
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