Let f (z) = (z2+1)(z²-4z+3) and I = P.V. f)G-t843) dx. (x² +1)(x²-4x+3) 2-i Given Res f(z)|z=i = and Res f(z)lz=1 = -0.25. Then 20 None of these Res f(z)|z=3 = 0 and I = 5 the above holds Res f(z)|z=3 = and I = 10 the above holds 1 Res f(z)|z=3 20 and I %3D 10 the above holds I=0 ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f (z) =
(z²+1)(z²-4z+3)
and I = P.V. f)G-te43) dx.
(x²+1)(x²-4x+3)
Given Res f(z)|z=i =
2-i
and Res f(z)|z=1 =-0.25. Then
20
None of these
Res f(z)|z=3 = 0
and I = 5
the above holds
Res f(z)|z=3 =
and I =
10
the above holds
1
Res f(z)|z=3
20
and I =
10
the above holds
I=0
||
Transcribed Image Text:Let f (z) = (z²+1)(z²-4z+3) and I = P.V. f)G-te43) dx. (x²+1)(x²-4x+3) Given Res f(z)|z=i = 2-i and Res f(z)|z=1 =-0.25. Then 20 None of these Res f(z)|z=3 = 0 and I = 5 the above holds Res f(z)|z=3 = and I = 10 the above holds 1 Res f(z)|z=3 20 and I = 10 the above holds I=0 ||
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