OShow ghat the equation z%-52²+3=€ has no 2. on the imeginery anis ond poecisely Two Solu tons En the hailf - Plane Rez 70
OShow ghat the equation z%-52²+3=€ has no 2. on the imeginery anis ond poecisely Two Solu tons En the hailf - Plane Rez 70
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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Transcribed Image Text:OShow ghat the equation z%-5243=€ has no
Solutions
on the imeginery anis ond precisely
Two Solu tons En the heilf - Plane Rez 70
Hint.
On Ihe imaginasy axis, f(z)=z"-Sz²+3-e=?has mo
Solution, Since |le=1 cwhile y4 Sy+ 3 73 ,let
grz) = z-S+3. 9hen If-g/-19/on the Contour
('m Fégure 3.4. g has Two zeros in the kíght
half- planeo
iR
frqure 3-4
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