Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 5, x₂(0) = - 10. 1 2 5t -⠀}~~~~}] []; [²] X; X₁ X2 7 x' = 9-4 14 -9 = e The particular solution is x₁ (t) = and x₂ (t) = ...

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Question
Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 5, x₂ (0) = -10.
1
[~~~~]
5t
X; = e
x₂ =e
1
x' =
9-4
14 -9
-5t
The particular solution is x₁ (t) = and x₂ (t) =
2
7
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 5, x₂ (0) = -10. 1 [~~~~] 5t X; = e x₂ =e 1 x' = 9-4 14 -9 -5t The particular solution is x₁ (t) = and x₂ (t) = 2 7
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