Solve the nonhomogeneous system of differential equations 8 -2 2 8 d -2 8 2 x - e 2t 16 dt 2 8 24 Hint: The characteristic polynomial of the coefficient matrix is -(A – 10)²(A – 4).
Solve the nonhomogeneous system of differential equations 8 -2 2 8 d -2 8 2 x - e 2t 16 dt 2 8 24 Hint: The characteristic polynomial of the coefficient matrix is -(A – 10)²(A – 4).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 55RE
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Question
![Solve the nonhomogeneous system of differential
equations
8 -2 2
8
d
-2 8 2|x -
- e2t| 16
dt
2 8
24
Hint: The characteristic polynomial of the coefficient matrix is
-(A – 10)²(A – 4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd29303b-2f0e-4317-a180-294f2c1e25d4%2Fcdeee70f-8805-4246-8cc3-3a2e824dd5d0%2F7rx53ho_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the nonhomogeneous system of differential
equations
8 -2 2
8
d
-2 8 2|x -
- e2t| 16
dt
2 8
24
Hint: The characteristic polynomial of the coefficient matrix is
-(A – 10)²(A – 4).
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