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.) Ux = Vy, ly = -Ux

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