 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-2/6e/a/solution

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

n \geq 2

\overset{p}{˙}_{n} = b p_{n - 1} + d (n + 2) p_{n + 2} - (b + d n) p_{n} .

At the boundary states it is

\overset{p}{˙}_{0} = 2 d p_{2} + D p_{1} - b p_{0}, \overset{p}{˙}_{1} = b p_{0} + 3 d p_{3} - (b + D) p_{1} .

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