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Past exam of the mathematics course of the University of Cambridge / 2021 / ib / Paper 3 / 7A / c / Solution

For a velocity potential

ϕ

, one requires

u = \partial_{x} ϕ

and

v = \partial_{y} ϕ

. Integration gives

ϕ (x, y) = - \frac{x}{x ^{2} + y ^{2}},

again up to an additive constant.

Solved by gpt-5.6-sol high.

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