Cauchy-Riemann equations. Show that for a family u(x, y) = c = const the orthogonal trajectories v(x, y) = c* = const can be obtained from the following Cauchy-Riemann equations (which are basic in complex analy sis in Chap. 13) and use them to find the orthogonal trajectories of e sin y = const. (Here, sub- scripts denote partial derivatives.) %3D Ux = Vy, Uy = -Vx
Cauchy-Riemann equations. Show that for a family u(x, y) = c = const the orthogonal trajectories v(x, y) = c* = const can be obtained from the following Cauchy-Riemann equations (which are basic in complex analy sis in Chap. 13) and use them to find the orthogonal trajectories of e sin y = const. (Here, sub- scripts denote partial derivatives.) %3D Ux = Vy, Uy = -Vx
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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