 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2007/ia/paper-3/11a/i/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

The radial Laplace equation has solution

a + b / r

. Boundedness at the origin requires

b = 0

, and the value at

r = 1

fixes

a = 1

. Thus

ψ (r) = 1, 0 \leq r \leq 1.

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