Question
9. Given an analytic function = f(2) = u(x, y) + iv(x, y), z = x + iy, the equations u(x, y) = a
9. Given an analytic function = f(2) = u(x, y) + iv(x, y), z = x + iy, the equations u(x, y) = a and v(x, y) = curves in the complex plane. Show that the two families are mutually orthogonal to each B, a and are constants, define two families of other.
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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