 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-2/7c/a/ii/solution

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

The roots are

r = (- γ \pm γ^{2} - 4 ω^{2}) /2

. They give oscillatory decay for

γ < 2 ω

γ > 2 ω

, and

(A + Bt) e^{- γ t /2}

at equality. All tend to zero.

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