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)