(Cauchy-Riemann equations) Show that for a familyu(x, y) =
Chapter 1, Problem 1.6(choose chapter or problem)
(Cauchy-Riemann equations) Show that for a familyu(x, y) = c = const the orthogonal trajectoriesvex, y) = c* = const can be obtained from the followingCauchy-Riemann equations (which are basic incomplex analysis in Chap. 13) and use them to find theorthogonal trajectories of eX sin y = const. (Here,subscripts denote partial derivatives.)
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