Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Analysis
Cauchy-Riemann Equations
Analytic Functions
Formulas
Cauchy-Riemann Equations: ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x
u(x, y) = x^2 + y
v(x, y) = y^2 - x
Theorems
Cauchy-Riemann Theorem
Suitable Grade Level
Undergraduate (Complex Analysis)
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