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The system can be rewritten as the matrix equation 5 2 Find the General Solution of the System of Differential Equations by 1. Finding the Eigenvalues for the matrix. 2. Find the 2 Eigenvectors of the matrix. 3. Use your Eigenvalues and Eigenvectors to write the General Solution of the System. (A sin(1) cos(4 1) + sin(1) 2 + sin(t) cos(17 t) - sin(17 t) + C, (17t) + sin(171) 14 17 14 -8' cos(17 t) 14 -81 sin(17 t) E

The system can be rewritten as the matrix equation 5 2 Find the General Solution of the System of Differential Equations by 1. Finding the Eigenvalues for the matrix. 2. Find the 2 Eigenvectors of the matrix. 3. Use your Eigenvalues and Eigenvectors to write the General Solution of the System. (A sin(1) cos(4 1) + sin(1) 2 + sin(t) cos(17 t) - sin(17 t) + C, (17t) + sin(171) 14 17 14 -8' cos(17 t) 14 -81 sin(17 t) E

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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The system can be rewritten as the matrix equation 6. 5 2 y Find the General Solution of the System of Differential Equations by 1. Finding the Eigenvalues for the matrix. 2. Find the 2 Eigenvectors of the matrix. 3. Use your Eigenvalues and Eigenvectors to write the General Solution of the System. - 1 (A cos(4 1) sin(t) C, e cos(4 1) + sin(t) - cos(t) |- sin(t) 2. C,et cos(1) + sin(t) - 1 7r + 7 1 1 sin (17t) - 17 -81 cos(17 t) -8r D cos(17 t) + C,e + sin(17 t) 14 14 17 1 -81 cos(17 t) + C,e 14 -81 sin(17 t) E C, 17 1 F + C,e"
Transcribed Image Text:The system can be rewritten as the matrix equation 6. 5 2 y Find the General Solution of the System of Differential Equations by 1. Finding the Eigenvalues for the matrix. 2. Find the 2 Eigenvectors of the matrix. 3. Use your Eigenvalues and Eigenvectors to write the General Solution of the System. - 1 (A cos(4 1) sin(t) C, e cos(4 1) + sin(t) - cos(t) |- sin(t) 2. C,et cos(1) + sin(t) - 1 7r + 7 1 1 sin (17t) - 17 -81 cos(17 t) -8r D cos(17 t) + C,e + sin(17 t) 14 14 17 1 -81 cos(17 t) + C,e 14 -81 sin(17 t) E C, 17 1 F + C,e"
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