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Prove that the transformation w-sinz, maps the families of ines x=constant and y=constant into two families of confocal central conics.

Prove that the transformation w-sinz, maps the families of ines x=constant and y=constant into two families of confocal central conics.

Advanced Engineering Mathematics
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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Find the conjugate harmonic of vr,) =cos 20-rcose+2. Show that vis harmonic. Prove that the transformation w=sinz, maps the families of iines x=constant and y=constant into two families of confocal central conics. Find the image of the circle z- 2= 2 under the transformation w = 1/z. Rotate </> 1:1 Reset
Transcribed Image Text:Find the conjugate harmonic of vr,) =cos 20-rcose+2. Show that vis harmonic. Prove that the transformation w=sinz, maps the families of iines x=constant and y=constant into two families of confocal central conics. Find the image of the circle z- 2= 2 under the transformation w = 1/z. Rotate </> 1:1 Reset
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