q22 When monitoring the spread of disease, the population can be divided into three groups; the portion that is susceptible to it, S[), the portion that is infected with it, AA, and the portion that is recovering from it, R{). Each of these will change according to a differential equation: S' %3D F' %3D R' the portion of the population that is infected is increasing in proportion to the number of susceptible people that contract the disease, and decreasing as a proportion of the infected people who recover. If we introduce the vector y = [S F R, this can be written in matrix form as y' = Ay. If one of the solutions is y = x1 + 300 e tla x + 600 e where x, = [0 0 50,00017, x, = [0 -1 17, and x = [b 40 -6417, what are the values of a, b, and c?
q22 When monitoring the spread of disease, the population can be divided into three groups; the portion that is susceptible to it, S[), the portion that is infected with it, AA, and the portion that is recovering from it, R{). Each of these will change according to a differential equation: S' %3D F' %3D R' the portion of the population that is infected is increasing in proportion to the number of susceptible people that contract the disease, and decreasing as a proportion of the infected people who recover. If we introduce the vector y = [S F R, this can be written in matrix form as y' = Ay. If one of the solutions is y = x1 + 300 e tla x + 600 e where x, = [0 0 50,00017, x, = [0 -1 17, and x = [b 40 -6417, what are the values of a, b, and c?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![q22
When monitoring the spread of disease, the population can be divided into three groups; the portion
that is susceptible to it, S), the portion that is infected with it, A). and the portion that is
recovering from it, R). Each of these will change according to a differential equation:
S'
F'
F
R'
%3!
the portion of the population that is infected is increasing in proportion to the number of susceptible
people that contract the disease, and decreasing as a proportion of the infected people who recover.
If we introduce the vector y = [S F R, this can be written in matrix form as y' = Ay.
If one of the solutions is
y = x1 + 300 e la 1 + 600 e tex3,
where x = [0 0 50,000]", x2 = [0 -1 1]", and x3 = [b 40 -64]", what are the values of a, b, and c?
%3D
%3!
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fc504ba-b243-467c-9e96-a67a73c15b7f%2F74daf90e-499b-4b27-bfb5-7658afb38087%2Fxb9qibx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:q22
When monitoring the spread of disease, the population can be divided into three groups; the portion
that is susceptible to it, S), the portion that is infected with it, A). and the portion that is
recovering from it, R). Each of these will change according to a differential equation:
S'
F'
F
R'
%3!
the portion of the population that is infected is increasing in proportion to the number of susceptible
people that contract the disease, and decreasing as a proportion of the infected people who recover.
If we introduce the vector y = [S F R, this can be written in matrix form as y' = Ay.
If one of the solutions is
y = x1 + 300 e la 1 + 600 e tex3,
where x = [0 0 50,000]", x2 = [0 -1 1]", and x3 = [b 40 -64]", what are the values of a, b, and c?
%3D
%3!
%3D
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