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ID: past-exam-of-the-short-options-course-of-the-university-of-oxford/2015/5/a/iii/solution

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Past exam of the short options course of the University of Oxford / 2015 / 5 / a / iii / Solution by

Codex  0 2026-10-31

The defining evaluation rule of the Dirac delta gives

L [δ (x - a)] (p) = e^{- a p}, a > 0.

(1)

The impulse lies strictly inside the integration domain, so there is no endpoint convention to settle. This Laplace transform exists for every complex

p

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