q1 1.[ACS] Find a Möbius transformationaz + bM(z)z+dC=(i.e., with c= 1) such that M(0) = 2, M(1) = 1 — i and M(x) = -1, where a, b, d are complexnumbers you should determine.

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Answered: 1. [ACS] Find a Möbius transformation…

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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1. [ACS] Find a Möbius transformation az + b M(z) z+d C= (i.e., with c= 1) such that M(0) = 2, M(1) = 1 — i and M(x) = -1, where a, b, d are complex numbers you should determine.