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ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2008-printed-variant/9/a/v/solution

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Past exam of the algebra, analysis and differential equations II course of the University of Oxford / 2008 printed variant / 9 / a / v / Solution by

Codex  0 2026-10-31

The eigenvalues are a nonreal conjugate pair

α \pm i β, α < 0, β \neq = 0

. The factor

e^{α t}

contracts while the imaginary part produces rotation, giving a stable spiral.

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