19.18. Show that each of the following functions call each one u(x, y)- is harmonic, and find the function's harmonic partner, v(x, y), such that u(x, y) + iv(x, y) is analytic. Hint: Use C-R conditions. jces y. (d) e -2y cos 2x. (e) ey-a" cos 2xy. (f) e" (x cos y – y sin y) + 2 sinh y sin r + x3 – 3xy? + y.

19.18. Show that each of the following functions call each one u(x, y)- is harmonic, and find the function's harmonic partner, v(x, y), such that u(x, y) + iv(x, y) is analytic. Hint: Use C-R conditions. jces y. (d) e -2y cos 2x. (e) ey-a" cos 2xy. (f) e" (x cos y – y sin y) + 2 sinh y sin r + x3 – 3xy? + y.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Conic Sections

Section8.2: More Parabolas And Some Circles

Problem 63.1PS

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