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Solve the initial value problem given below. In your solving process, make sure to (1) write the system in matrix form; (2) find eigenvalues; (3) find eigenvectors; (4) use initial conditions to find c₁ and c₂, and (5) state your solution. You may work this out by hand or using MATLAB, but are strongly encouraged to do both as a check on your work. dx dt dy dt = x + 3y, = : 3x + y, x (0) = 3 y (0) = 1

Solve the initial value problem given below. In your solving process, make sure to (1) write the system in matrix form; (2) find eigenvalues; (3) find eigenvectors; (4) use initial conditions to find c₁ and c₂, and (5) state your solution. You may work this out by hand or using MATLAB, but are strongly encouraged to do both as a check on your work. dx dt dy dt = x + 3y, = : 3x + y, x (0) = 3 y (0) = 1

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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Solve the initial value problem given below. In your solving process, make sure to (1) write the system in matrix form; (2) find eigenvalues; (3) find eigenvectors; (4) use initial conditions to find c₁ and c₂, and (5) state your solution. You may work this out by hand or using MATLAB, but are strongly encouraged to do both as a check on your work. dx dt dy dt = x + 3y, = : 3x + y, x(0) = 3 y (0) = 1
Transcribed Image Text:Solve the initial value problem given below. In your solving process, make sure to (1) write the system in matrix form; (2) find eigenvalues; (3) find eigenvectors; (4) use initial conditions to find c₁ and c₂, and (5) state your solution. You may work this out by hand or using MATLAB, but are strongly encouraged to do both as a check on your work. dx dt dy dt = x + 3y, = : 3x + y, x(0) = 3 y (0) = 1
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