(b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |2| < 1, and that they are both real.
(b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |2| < 1, and that they are both real.
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
Do part b in detail
Transcribed Image Text:8. (The argument principle and Rouché's theorem)
(a) Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial
p(2) = 2³ + 2² + 9z + 4.
(b) Show that the equation
e- - 2:2 = 1
has exactly two solutions in the disk |z| < 1, and that they are both real.
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