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For each system of differential equations, sketch the lines in the direction of the eigenvectors. Indicate on each line the direction the solution would move if an initial point is on the line. The equilibrium of both systems is (0,0). Based upon your graph, is the equilibrium stable or unstable. Use your graph to answer the question. A. dx dt dy dt = - = ( ² 9(₂) -3

For each system of differential equations, sketch the lines in the direction of the eigenvectors. Indicate on each line the direction the solution would move if an initial point is on the line. The equilibrium of both systems is (0,0). Based upon your graph, is the equilibrium stable or unstable. Use your graph to answer the question. A. dx dt dy dt = - = ( ² 9(₂) -3

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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For each system of differential equations, sketch the lines in the direction of the eigenvectors . Indicate on each line the direction the solution would move if an initial point is on the line. The equilibrium of both systems is (0,0). Based upon your graph, is the equilibrium stable or unstable. Use your graph to answer the question. dx dt A. dy = dt dt B. dy
Transcribed Image Text:For each system of differential equations, sketch the lines in the direction of the eigenvectors . Indicate on each line the direction the solution would move if an initial point is on the line. The equilibrium of both systems is (0,0). Based upon your graph, is the equilibrium stable or unstable. Use your graph to answer the question. dx dt A. dy = dt dt B. dy
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