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4. Draw the zeroclines (the functions of the vector space set equal to zero) for the following system of equations. dx dt dy dt = 2x2x² - xy,, = 2y - xy - 2y². (3) Use the zeroclines for a) to find the equilibrium points of the system. b) Label the equilibrium points in the drawing of the zeroclines and their coordinates. c) Calculate the Jacobian and classify each equilibrium point (source, spiral, sink, etc.).

4. Draw the zeroclines (the functions of the vector space set equal to zero) for the following system of equations. dx dt dy dt = 2x2x² - xy,, = 2y - xy - 2y². (3) Use the zeroclines for a) to find the equilibrium points of the system. b) Label the equilibrium points in the drawing of the zeroclines and their coordinates. c) Calculate the Jacobian and classify each equilibrium point (source, spiral, sink, etc.).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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SOLVE STEP BY STEP IN DIGITAL FORMAT 4. Draw the zeroclines (the functions of the vector space set equal to zero) for the following system of equations. d.x dt dy dt = 2x2x² - xy,, = 2y - xy - 2y². (3) Use the zeroclines for a) to find the equilibrium points of the system. b) Label the equilibrium points in the drawing of the zeroclines and their coordinates. c) Calculate the Jacobian and classify each equilibrium point (source, spiral, sink, etc.).
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT 4. Draw the zeroclines (the functions of the vector space set equal to zero) for the following system of equations. d.x dt dy dt = 2x2x² - xy,, = 2y - xy - 2y². (3) Use the zeroclines for a) to find the equilibrium points of the system. b) Label the equilibrium points in the drawing of the zeroclines and their coordinates. c) Calculate the Jacobian and classify each equilibrium point (source, spiral, sink, etc.).
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