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Hi, I have questions. I need your help. Thank you so much. Question 1 (1 point} Suppose a two-dimensional linear homogeneous system with constant coefficients
Hi, I have questions.
I need your help.
Thank you so much.
Question 1 (1 point} Suppose a two-dimensional linear homogeneous system with constant coefficients has real eigenvalues T1 0. Then If :3 all solutions (except the zero solution} grow to infinity {' i) all solutions approach the origin III" ":3 solutions starting in half the phase plane shrink to the origin, while those , starting in the other half grow to infinity If i} most solutions grow to infinity, but some special solutions shrink to the origin Question 2 (1 point} How is time represented in a phase plane portrait? If i} Time is the horizontal axis of the graph. {' j} Time is represented by motion along solution curves. If i} It isn't: the phase plane is a snap-shot at a particular time. Question 3 (1 point} Suppose a two-dimensional linear homogeneous system with constant coefficients has real eigenvalues T1 > 0 and T2 > 0. Then the origin is If i} a saddle point If :3 an unstable node If i) a stable node Question 4 (1 point) Suppose a two-dimensional linear homogeneous system with constant coefficients has real eigenvalues T1 0. Then, the origin is if a saddle point If i} an unstable node 1:" :3 a stable nodeStep by Step Solution
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