 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-1/6c/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

With

p_{- 1} = 0

b_{n} = B n

and death rate

d_{n} = D n

\overset{p}{˙}_{n} = B (n - 1) p_{n - 1} + D (n + 1) p_{n + 1} - (B + D) n p_{n}, n \geq 0.

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