Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and x2 are functions of t. Our goal is first to find the general solution of this system and then a particular solution.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Find the solution if the initial condition is
Answer: X(t) =
-3
· (²1) = (-³)
(21(6)) =
at t = 0.
Transcribed Image Text:Find the solution if the initial condition is Answer: X(t) = -3 · (²1) = (-³) (21(6)) = at t = 0.
Consider the system of differential equations
x₁ = 10/3x₁ +4/3x2
x2 = 8/3x1 +14/3x2
9
where 1 and 2 are functions of t. Our goal is first to find the general solution of this system and then
a particular solution.
Transcribed Image Text:Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x1 +14/3x2 9 where 1 and 2 are functions of t. Our goal is first to find the general solution of this system and then a particular solution.
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