Solve the system of differential equations. X1' = 3x1 1x2 x₂ = 1x₁ + 5x₂ = - 11, x₂(0) = 7 x₁ (0) x₁ (t) = x₂(t) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 28CM
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Question
Solve the system of differential equations.
X1 3x1 - 1x2
=
X2' 1x₁ + 5x2
− 11, x₂(0) = 7
x₁(0) =
x₁ (t) =
x₂ (t) =
X2
Transcribed Image Text:Solve the system of differential equations. X1 3x1 - 1x2 = X2' 1x₁ + 5x2 − 11, x₂(0) = 7 x₁(0) = x₁ (t) = x₂ (t) = X2
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Solve the system of differential equations.
X1 =
3x₁1x2
X2'
-
1x₁ + 5x2
11, x₂(0) = 7
X
X
x₁ (0)
X1
=
x₁(t) et (-11+3t)
=
x₂(t)=e4t (-7+3t)
Transcribed Image Text:Solve the system of differential equations. X1 = 3x₁1x2 X2' - 1x₁ + 5x2 11, x₂(0) = 7 X X x₁ (0) X1 = x₁(t) et (-11+3t) = x₂(t)=e4t (-7+3t)
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Follow-up Question
Solve the system of differential equations.
X1'
=
3x11x2
X2': =
1x₁ + 5x2
- 11, x₂(0) = 7
X
X
x₁ (0)
x₁(t)=
et(-11 + 18t)
x₂(t) = -et (7 + 18t)
4t
=
Transcribed Image Text:Solve the system of differential equations. X1' = 3x11x2 X2': = 1x₁ + 5x2 - 11, x₂(0) = 7 X X x₁ (0) x₁(t)= et(-11 + 18t) x₂(t) = -et (7 + 18t) 4t =
Solution
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