a) z^2=w b)z^3=w c)z^10=w d)z^50=w e)z^6000=w

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) z^2=w

b)z^3=w

c)z^10=w

d)z^50=w

e)z^6000=w

Let w = -V2 + iv2. Express all of the roots for each equation with variable z in terms of
an integer k. (Hint: you don't have to write out all solutions explicitly. Use a variable k and
say what its highest and lowest values are.)
Transcribed Image Text:Let w = -V2 + iv2. Express all of the roots for each equation with variable z in terms of an integer k. (Hint: you don't have to write out all solutions explicitly. Use a variable k and say what its highest and lowest values are.)
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