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dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the larger eigenvalue is -0.9 [Note-- you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit. ] If y = Ay is a differential equation, how would the solution curves behave? OA. All of the solution curves would run away from 0. (Unstable node) OB. The solution curves converge to different points. OC. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OD. All of the solutions curves would converge towards 0. (Stable node) The solution to the above differential equation with initial values x (0) = 8, y(0) = 6 is ¤(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*(-(1/5))*e^(-39/10)*t)) y(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*e^(-39/10)*t)) ||

dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the larger eigenvalue is -0.9 [Note-- you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit. ] If y = Ay is a differential equation, how would the solution curves behave? OA. All of the solution curves would run away from 0. (Unstable node) OB. The solution curves converge to different points. OC. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OD. All of the solutions curves would converge towards 0. (Stable node) The solution to the above differential equation with initial values x (0) = 8, y(0) = 6 is ¤(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*(-(1/5))*e^(-39/10)*t)) y(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*e^(-39/10)*t)) ||

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the system of differential equations dx -1.4x + 0.5y, dt dy 2.5x - 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the larger eigenvalue is -0.9 [Note-- you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit. ] If y Ay is a differential equation, how would the solution curves behave? O A. All of the solution curves would run away from 0. (Unstable node) B. The solution curves converge to different points. C. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OD. All of the solutions curves would converge towards 0. (Stable node) The solution to the above differential equation with initial values (0) = 8, y(0) = 6 is æ(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*(-(1/5))*e^((-39/10)*t)) y(t): (23/3)*e^(-(9/10)*t)-((-(5/3))*e^((-39/10)*t))
Transcribed Image Text:Consider the system of differential equations dx -1.4x + 0.5y, dt dy 2.5x - 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the larger eigenvalue is -0.9 [Note-- you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit. ] If y Ay is a differential equation, how would the solution curves behave? O A. All of the solution curves would run away from 0. (Unstable node) B. The solution curves converge to different points. C. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OD. All of the solutions curves would converge towards 0. (Stable node) The solution to the above differential equation with initial values (0) = 8, y(0) = 6 is æ(t) (23/3)*e^(-(9/10)*t)-((-(5/3))*(-(1/5))*e^((-39/10)*t)) y(t): (23/3)*e^(-(9/10)*t)-((-(5/3))*e^((-39/10)*t))
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