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Consider the system of differential equations -73"1 + 2/3c2 where 1 and 2 are functions of t.Our goal is to find the general solution of this system a) This system can be written using matrices as X, = AX, where X is in R2 and the matrix A is A= asin(a)002 sin (a 00 αΩ Or b) Find the eigenvalues and eigenvectors of the matrix A associated to the system of linear differential equatons. List the eigenvalues separated by semicolons Eigenvalues Give an eigenvector associated to the smallest eigenvalue. Answer: b) Find the eigenvalues and eigenvectors of the matrix A associated to the system of linear differential equatons. List the eigenvalues separated by semicolons. Eigenvalues: Give an eigenvector associated to the smallest eigenvalue. Answer: b sin(a) b sin (a Give an eigenvector associated to the largest eigenvalue. Answer: c) The general solution of the system of linear differential equations is of the form X = c1 X1 + c2X2 where c1 and c2 are constants, and b sin (a) and ab sin (a) α Ω ã¼4t We assume that X1 is assoicated to the smallest eigenvalue and X2 to the largest eigenvalue. Use the scientific calculator notation. For instance, 3e is written 3 ::.ii ะ๠Show transcribed image text
Consider the system of differential equations -73"1 + 2/3c2 where 1 and 2 are functions of t.Our goal is to find the general solution of this system a) This system can be written using matrices as X, = AX, where X is in R2 and the matrix A is A= asin(a)002 sin (a 00 αΩ Or b) Find the eigenvalues and eigenvectors of the matrix A associated to the system of linear differential equatons. List the eigenvalues separated by semicolons Eigenvalues Give an eigenvector associated to the smallest eigenvalue. Answer:
b) Find the eigenvalues and eigenvectors of the matrix A associated to the system of linear differential equatons. List the eigenvalues separated by semicolons. Eigenvalues: Give an eigenvector associated to the smallest eigenvalue. Answer: b sin(a) b sin (a Give an eigenvector associated to the largest eigenvalue. Answer:
c) The general solution of the system of linear differential equations is of the form X = c1 X1 + c2X2 where c1 and c2 are constants, and b sin (a) and ab sin (a) α Ω
ã¼4t We assume that X1 is assoicated to the smallest eigenvalue and X2 to the largest eigenvalue. Use the scientific calculator notation. For instance, 3e is written 3 ::.ii ะà¹
Show transcribed image text Jarrod RobelLv2
13 Feb 2019