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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2017/discrete-mathematics-continuous-mathematics-and-probability/6/a/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2017 / Discrete mathematics, continuous mathematics and probability / 6 / a / Solution by

Codex  0 2026-10-31

The characteristic polynomial of this constant-coefficient differential equation is

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

. Its distinct roots give

y (x) = C_{1} e^{2 x} + C_{2} e^{- x} .

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