Practice question · Select all that apply
Which systems have a stable equilibrium?
Hints
- Stability requires every real part to be negative.
- A single positive root is enough to destroy it.
Show the answer
- B. Both eigenvalues negative (stable node)
- C. Complex eigenvalues with negative real part (stable spiral)
Why
Stability requires ALL eigenvalue real parts to be negative. Saddle points and unstable nodes have at least one positive eigenvalue.
Practise Systems of Differential Equations
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