GATE ME 2019 Set 2 — Question 14
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Engineering Mathematics → Complex Variables → Cauchy-Riemann Equations
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Question
An analytic function of complex variable may be written as . Then, and must satisfy
Correct answer
(B) (∂ u)/(∂ x) = (∂ v)/(∂ y) and (∂ u)/(∂ y) = -(∂ v)/(∂ x)
Solution
For a function to be analytic, it must satisfy the Cauchy-Riemann equations:These conditions ensure the existence of a unique derivative at every point in the domain.
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