Discussion
The real part of an analytic function satisfies which equation?
Answer: A
Differentiating the Cauchy-Riemann equations and adding eliminates \( v \):
\[ u_{xx} + u_{yy} \;=\; v_{yx} - v_{xy} \;=\; 0. \]
So both the real and the imaginary parts are harmonic, and this is what links complex analysis to two-dimensional potential problems in fluid flow and electrostatics
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