 Solution

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

Both eigenvalues are real and negative:

λ_{1} < 0, λ_{2} < 0

, with distinctness as assumed. The two independent real eigendirections carry exponentially decaying factors

e^{λ_{j} t}

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