Consider the system of differential equationsFor this system, the smaller eigenvalue is (-39/10)[Note-- you may want to view a phase plane plot (right click to open in a new window).]If y'= Ay is a differential equation, how would the solution curves behave?• All of the solutions curves would converge towards 0. (Stable node)All of the solution curves would run away from 0. (Unstable node)and the larger eigenvalue isThe solution curves would race towards zero and then veer away towards infinity. (Saddle)The solution curves converge to different points.The solution to the above differential equation with initial values (0) = 4, y(0) = 3 is(t)=(49/12)*e^((-9/10)*t)-(1/12)*e^((-19/10)*t)y(t) = (49/12)*e^((-9/10)*t)+(5/12)*e^((-19/10)*t)dadtdydt= -1.4x +0.75y,= 1.66667 3.4y.(-9/10)

Given the differential equations: dxdt=-1.4x+0.75y,dydt=1.66667x-3.4y.

Consider the system of differential equations For this system, the smaller eigenvalue is (-39/10) [Note-- you may want to view a phase plane plot (right click to open in a new window).] If y' = Ay is a differential equation, how would the solution curves behave? • All of the solutions curves would converge towards 0. (Stable node) All of the solution curves would run away from 0. (Unstable node) The solution curves would race towards zero and then veer away towards infinity. (Saddle) The solution curves converge to different points. dx dt dy dt = -1.4x +0.75y, = 1.66667-3.4y. and the larger eigenvalue is (-9/10)

Consider the system of differential equations For this system, the smaller eigenvalue is (-39/10) [Note-- you may want to view a phase plane plot (right click to open in a new window).] If y' = Ay is a differential equation, how would the solution curves behave? • All of the solutions curves would converge towards 0. (Stable node) All of the solution curves would run away from 0. (Unstable node) The solution curves would race towards zero and then veer away towards infinity. (Saddle) The solution curves converge to different points. dx dt dy dt = -1.4x +0.75y, = 1.66667-3.4y. and the larger eigenvalue is (-9/10)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 65E

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