 Solution

ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2006/differential-equations/9/iii/solution

Combining the exponential factors gives

\overline{e^{- c t}} (p) = \int_{0}^{\infty} e^{- (p + c) t} d t = \frac{1}{p + c} (Re (p + c) > 0) .

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