Suppose Juliet isnt happy with how the cats presence affects her and finds a suitable alternate home
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Suppose Juliet isn’t happy with how the cat’s presence affects her and finds a suitable alternate home for her cat. Romeo on the other hand starts reading self-help books and becomes more in tune with his feelings. The new system is
dx/dt=−0.2y+ 0.1
dy/dt= 0.8x.
(a) Find the eigenvalues of the system. What do their values tell you about the long-term fate of this relationship?
(b) Use the eigenvalues to draw a sketch of the phase plane, and check it with PPLANE.
(c) Describe what is happening in the phase plane in terms of emotions.
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