(z-i)² 2. Show that the transformation w = maps the interior of the semicircle |z| = 1 into (z+i)² the upper half of the w-plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Do it in 30 mins.please please please
(z-i)²
maps the interior of the semicircle [z| = 1 into
(z+i)²
2. Show that the transformation w =
the upper half of the w-plane.
Transcribed Image Text:(z-i)² maps the interior of the semicircle [z| = 1 into (z+i)² 2. Show that the transformation w = the upper half of the w-plane.
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