Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 22E
Related questions
Question
![Solve the system of differential equations.
· 6x1 + 2x₂
x1 =
X2' =
2x1
-
=
- 2, x₂(0)
- 22
x₁ (0)
x₁(t) =
x₂ (t) =
10x2
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86b2d75-dc89-44ee-816d-e64b811f53cb%2Ff20c9d63-75e7-444a-a4f0-955587e4a291%2Fekkdsz_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the system of differential equations.
· 6x1 + 2x₂
x1 =
X2' =
2x1
-
=
- 2, x₂(0)
- 22
x₁ (0)
x₁(t) =
x₂ (t) =
10x2
=
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Follow-up Questions
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Follow-up Question
![Solve the system of differential equations.
- 6x1 + 2x2
X1
X₂' = - 2x1 - 10x₂
x₁ (0) = – 2, x₂(0)
=
- 22
x₁ (t) = -22e
-22e-8t
+48e
t(-+- 2/2 )
x₂ (t) = −22e-8t+48e-8t(t)
-
X
OT](https://content.bartleby.com/qna-images/question/a86b2d75-dc89-44ee-816d-e64b811f53cb/d38b5504-7c16-47e8-b688-304d664fdd2d/a8fxjhm_thumbnail.png)
Transcribed Image Text:Solve the system of differential equations.
- 6x1 + 2x2
X1
X₂' = - 2x1 - 10x₂
x₁ (0) = – 2, x₂(0)
=
- 22
x₁ (t) = -22e
-22e-8t
+48e
t(-+- 2/2 )
x₂ (t) = −22e-8t+48e-8t(t)
-
X
OT
Solution
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