 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ia/paper-2/5c/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-29

r^{2} - 2 r + 1 = (r - 1)^{2} = 0.

Its repeated root gives

y_{n} = A + B n .

Since

t_{n} = nh

, this can be written

y_{n} = A + (B / h) t_{n}

, exactly the discrete form of the continuous solution

y (t) = C + D t

y^{''} = 0

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