Let x(1) = x{ (1) = x₂2 (1) = If x(0) = x₁ (1) x₁ (t) = 4 exp(t x₂ (1) -4 B -4 Put the eigenvalues in ascending order when you enter x₁ (1), x₂ (1) below. t) X₂ (1) = t exp( t t) be a solution to the system of differential equations -25 x₁(1) + 10 x₂ (1) -60 x₁(t) + 25 x2 (1) , find x(t). exp(-25 1) + 10 exp(-60 1) + 25

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.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 61CR
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Let x(t) =
x{(t)
x₂ (1)
=
=
If x(0) =
x₁ (1)
[
x2 (1)
X₁ (t) = 4
exp(t
-4
[1]
-4
Put the eigenvalues in ascending order when you
enter x₁(1), x₂(1) below.
exp(-25 t) + 10
t
t)
x₂ (1) =
exp(t t)
be a solution to the system of differential equations:
+
-25 x₁(1)
-60 x₁(t) +
, find x(t).
10 x₂(1)
25 x₂(1)
exp(-60
1) + 25
Transcribed Image Text:Let x(t) = x{(t) x₂ (1) = = If x(0) = x₁ (1) [ x2 (1) X₁ (t) = 4 exp(t -4 [1] -4 Put the eigenvalues in ascending order when you enter x₁(1), x₂(1) below. exp(-25 t) + 10 t t) x₂ (1) = exp(t t) be a solution to the system of differential equations: + -25 x₁(1) -60 x₁(t) + , find x(t). 10 x₂(1) 25 x₂(1) exp(-60 1) + 25
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