7) Under the bilinear transformation w=u+iv = the real axis of the z-plane is mapped to the imaginary axis of the w- plane the straight line 4u +3v = 1 O the circle with centre (0, -1) and radius in the w-plane O the circle with centre (0,–) and radius in the w- plane iz + 2 4z + i'

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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Question
7)
Under the bilinear transformation w=u+iv=
the real axis of the z- plane is mapped to
the imaginary axis of the w- plane
the straight line 4u + 3v = 1
the circle with centre (0, -1) and radius
in the w- plane
the circle with centre (0,-) and radius
in the w- plane
a 100
iz + 2
4z + i'
Transcribed Image Text:7) Under the bilinear transformation w=u+iv= the real axis of the z- plane is mapped to the imaginary axis of the w- plane the straight line 4u + 3v = 1 the circle with centre (0, -1) and radius in the w- plane the circle with centre (0,-) and radius in the w- plane a 100 iz + 2 4z + i'
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