 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ib/paper-4/12b/i/solution

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

For

Re s > 0

L {H (t - t_{0})} (s) = \int_{t_{0}}^{\infty} e^{- s t} d t = \frac{e ^{- s t_{0}}}{s} .

This is the Laplace transform time-shift rule in its simplest form.

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