1. Mathematics
2. Numerical Analysis
3. Partial Differential Equations
4. 33521

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6. Let u and v denote the real and imaginary components of the function f defined by the equations
_
f(z) = (z^2)/z when z ≠ 0,

f (z) = 0 when z = 0.

Verify that the Cauchy-Riemann equations ux = vy and uy = -vx are satisfied at the origin z = (0, 0).