In tracking the propagation of a disease, a population can be divided into 3 groups: the portion that is susceptible, S(t), the portion that is infected, F(t), and the portion that is recovering, R(t). Each of these will change according to a differential equation: S' = F' = {{ R' so that 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 [SF R], this can be written in matrix form as y' Ay. = If one of the solutions is y X1+300 e tla x2 + 400 e-t/c X3, where X1 [0 0 50,000], x₂ = [0 −1_1], and x3 = [b 32 −64]T, what are the values of a, b, and c? = || coito 5100 I
In tracking the propagation of a disease, a population can be divided into 3 groups: the portion that is susceptible, S(t), the portion that is infected, F(t), and the portion that is recovering, R(t). Each of these will change according to a differential equation: S' = F' = {{ R' so that 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 [SF R], this can be written in matrix form as y' Ay. = If one of the solutions is y X1+300 e tla x2 + 400 e-t/c X3, where X1 [0 0 50,000], x₂ = [0 −1_1], and x3 = [b 32 −64]T, what are the values of a, b, and c? = || coito 5100 I
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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