After showing that the function u(x, y) 23 + x? – 3xy? + x – y² + 1 is harmonic, find a function v such that f(x+iy) = u(x, y) +iv(x, y) is analytic. Write the formula of f in terms of z = x + iy. 3.

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After showing that the function<br>u(x, y)<br>23 + x? – 3xy? + x – y² + 1<br>is harmonic, find a function v such that f(x+iy) = u(x, y) +iv(x, y) is analytic. Write the formula<br>of f in terms of z = x + iy.<br>3.<br>

Extracted text: After showing that the function u(x, y) 23 + x? – 3xy? + x – y² + 1 is harmonic, find a function v such that f(x+iy) = u(x, y) +iv(x, y) is analytic. Write the formula of f in terms of z = x + iy. 3.

Jun 04, 2022

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After showing that the function u(x, y) 23 + x? – 3xy? + x – y² + 1 is harmonic, find a function v such that f(x+iy) = u(x, y) +iv(x, y) is analytic. Write the formula of f in terms of z = x + iy. 3.

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