Practice question · Select all that apply
Which equilibrium types are stable for a 2D linear system?
Hints
- Stability requires every mode to decay, not merely to stay bounded.
- One listed type only circles forever without ever settling.
Show the answer
- A. Stable node (both eigenvalues negative real)
- D. Stable spiral (complex eigenvalues with negative real part)
Why
Centers are neutrally stable but not asymptotically stable; saddles are unstable.
Practise Systems of Differential Equations
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