= z and suppose, corresponding to z = 1, we have w = 1. (a) If we start at z = 1 in the z-plane and make one complete circuit counter clockwise around the origin, find the value of w on returning to z = 1 for the Let w? first time. (b) What are the values of w on returning to z = 1 after 2, 3, ... complete circuits about the origin?

= z and suppose, corresponding to z = 1, we have w = 1. (a) If we start at z = 1 in the z-plane and make one complete circuit counter clockwise around the origin, find the value of w on returning to z = 1 for the Let w? first time. (b) What are the values of w on returning to z = 1 after 2, 3, ... complete circuits about the origin?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let w? = z and suppose, corresponding to z = 1, we have w = 1.
(a) If we start at z = 1 in the z-plane and make one complete circuit counter
clockwise around the origin, find the value of w on returning to z = 1 for the
%3D
first time.
(b) What are the values of w on returning to z = 1 after 2,3, ... complete
circuits about the origin?

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