Consider the initial value problem -4 y' ` = ( ² =2^ ) y, y (0) = ( ²¹ ). a) Find the eigenvalues and eigenvectors b) Find a fundamental matrix c) Find the solution of the initial value problem

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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Consider the initial value problem
2-4
Y-(²7¹)x. y(0)-(¹₁)
4)
=
1
2
y'
=
a) Find the eigenvalues and eigenvectors
b) Find a fundamental matrix
c) Find the solution of the initial value problem
Transcribed Image Text:Consider the initial value problem 2-4 Y-(²7¹)x. y(0)-(¹₁) 4) = 1 2 y' = a) Find the eigenvalues and eigenvectors b) Find a fundamental matrix c) Find the solution of the initial value problem
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