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Consider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qs

Consider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qs

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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Consider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qs
Transcribed Image Text:Consider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qs
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