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ID: past-exam-of-the-mathematics-course-of-the-year-2-of-the-natural-sciences-course-of-the-university-of-cambridge/2012/paper-1/7/i/solution

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Past exam of the mathematics course of the year 2 of the natural sciences course of the University of Cambridge / 2012 / Paper 1 / 7 / i / Solution by

Codex  0 2026-10-18

The complex potential of a two-dimensional potential flow combines the velocity potential

u

with the stream function

v

. For its holomorphic representation, the Cauchy-Riemann equations are

u_{x} = v_{y}

and

u_{y} = - v_{x}

.

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