 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/13e/d/solution

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

Here

u = - 2 sinh (λ x)

and

D = cosh (λ x)

. Zero stationary flux gives

(D P)^{'} = u P

, so

P \propto D^{- 1} exp \int u / D, d x \propto cosh (λ x)^{- (1 + 2/ λ)}

, a symmetric unimodal distribution.

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