2) a) Write the following curves in parametric way z(+) = x(#)+iy(t). i) z ž + i (z - Ž)-2=0 is) Im (4) = ½ b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il are different equations all describing the real (x) axis.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Questions: 2 part a question I 2 part b Handwritten clearly and cannot stress this enough, not typed, I need visualise the method, many thanks.
2) a) Write the following curves in parametric way z(+) = x(#)+iy(t).
i) z ž + i (z - Ž)-2=0
is) Im (4) = ½
b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il
are different equations all describing the real (x) axis.
Transcribed Image Text:2) a) Write the following curves in parametric way z(+) = x(#)+iy(t). i) z ž + i (z - Ž)-2=0 is) Im (4) = ½ b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il are different equations all describing the real (x) axis.
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