Let X X(t) be the response of the linear dynamical system x ax by y bx ay that satisfies
Chapter 11, Problem 20(choose chapter or problem)
Let X = X(t) be the response of the linear dynamical system
\(x^{\prime}=\alpha x-\beta y \)
\(y^{\prime}=\beta x+\alpha y\)
that satisfies the initial condition \(\mathbf{X}(0)=\mathbf{X}_{0}\). Determine conditions on the real constants \(\alpha\) and \(\beta\) that will ensure \(\lim _{t \rightarrow \infty} \mathbf{X}(t)=(0,0)\). Can (0, 0) be a node or saddle point?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer