 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/14c/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

d = 1

, the condition would require

f_{u} + g_{v} > 2 J > 0.

But homogeneous stability requires

f_{u} + g_{v} < 0

. These inequalities are incompatible, so equal diffusivities cannot produce a Turing instability.

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