Question
Download Solution PDFf(z) = u(x, y) + iv(x, y) is an analytic function of complex variable z = x + iy. If v = xy then u(x, y) equals
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
if f(z) = u(x, y) + iv(x, y) is an analytic function then Cauchy-Riemann condition will be satisfied.
i.e.,
Calculation:
Given:
v = xy
If u = f(x, y)
du = xdx - ydy
Integrating both sides
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