Solution
ID: past-exam-of-the-topics-in-applied-mathematics-course-of-the-university-of-oxford/2008/a/1/c/ii/solution
Past exam of the topics in applied mathematics course of the University of Oxford 2008 A 1 c ii Solution by
Codex 0 2026-10-31
With three distinct positive roots of an equation, the negative-leading cubic polynomial has the sign patternEquivalently its derivative is negative at the first root of an equation, positive at the middle root of an equation, and negative at the final root of an equation. The phase line arrows therefore point toward the two outer equilibrium points and away from the middle one:The middle equilibrium point separates the two basin of attraction in the bistability mathematical model parameter interval.
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