Solved: Suppose u and v are the harmonic functions forming the real and imaginary parts
Chapter 17, Problem 32(choose chapter or problem)
Suppose u and v are the harmonic functions forming the real and imaginary parts of an analytic function. Show that the level curves \(u(x, y)=c_{1}\) and \(v(x, y)=c_{2}\) are orthogonal. [Hint: Consider the gradient of u and the gradient of v. Ignore the case where a gradient vector is the zero vector.]
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