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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
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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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