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1)Find the x- and y-Nullclines of the system and sketch them. How many equilibria are there? Where are they located? b)The Nullclines separate the plane into regions where solutions are generally moving in the same direction. For each region in your plot, indicate the general direction that solutions are moving (e.g. “Northeast” or “Down-and-right”).

1)Find the x- and y-Nullclines of the system and sketch them. How many equilibria are there? Where are they located? b)The Nullclines separate the plane into regions where solutions are generally moving in the same direction. For each region in your plot, indicate the general direction that solutions are moving (e.g. “Northeast” or “Down-and-right”).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question

1)Find the x- and y-Nullclines of the system and sketch them.
How many equilibria are there? Where are they located?

b)The Nullclines separate the plane into regions where solutions
are generally moving in the same direction. For each region in your plot,
indicate the general direction that solutions are moving (e.g. “Northeast”
or “Down-and-right”).

a'(t) = x · (y + x² – 2) y (t) = (x² – y)
Transcribed Image Text:a'(t) = x · (y + x² – 2) y (t) = (x² – y)
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