The system can be rewritten as the matrix equation 6 -3 %3D y 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 3 e' 4 B 2 cos + sin cos (D cos( 3 1) sin (3 t) cos ( 3 1) + sin(3 t) - 2 E) C, e3 3 + 1 -3 (F) +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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q6

The system can be rewritten as the matrix equation
6 -3
y
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
3
e'
4
B
+
2
C,e cos(V3r)
cos
+ sin
(D
cos(3 1)
sin (3 t)
cos ( 3 1)
+ sin(3 t)
2
E)
C,
+
y
3
1
- 3
(F)
+
Transcribed Image Text:The system can be rewritten as the matrix equation 6 -3 y 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 3 e' 4 B + 2 C,e cos(V3r) cos + sin (D cos(3 1) sin (3 t) cos ( 3 1) + sin(3 t) 2 E) C, + y 3 1 - 3 (F) +
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