The system can be rewritten as the matrix equation 4 6. - 3 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 vour Figenvalues and Figenvectors to write the General Solution of the System. 3.

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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The system can be rewritten as the matrix equation
4
6.
-3
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.
-3
(A)
cos
sin
cos
7.
+ sin
2
-3
(B
-3
cos
sin
+ C2e
+ sin
COS -t
y
2
C, e'
+
y
2
3
(D
-5t
+ C,e
y
E
61
+ C,e'
y
F)
-5r
+ C.
10
3.
Transcribed Image Text:The system can be rewritten as the matrix equation 4 6. -3 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. -3 (A) cos sin cos 7. + sin 2 -3 (B -3 cos sin + C2e + sin COS -t y 2 C, e' + y 2 3 (D -5t + C,e y E 61 + C,e' y F) -5r + C. 10 3.
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