Use sage or Excel to perform Euler's method with step size 0.02 to approximate to approximate S(2), I(2), and R(2) where S(t), I(t), and R(t) are the solutions to the SIR model given by the system dS -3SI dt dI 3SI 0.21 dt dR = 0.21 dt with initial conditions S(0) = 0.97, I(0) = 0.03, and R(0) = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Use sage or Excel to perform Euler's method with step size 0.02 to approximate to
approximate S(2), I(2), and R(2) where S(t), I(t), and R(t) are the solutions to the SIR
model given by the system
dS
-3SI
dt
dI
3SI 0.21
dt
dR
= 0.21
dt
with initial conditions S(0) = 0.97, I(0) = 0.03, and R(0) = 0.
Transcribed Image Text:Use sage or Excel to perform Euler's method with step size 0.02 to approximate to approximate S(2), I(2), and R(2) where S(t), I(t), and R(t) are the solutions to the SIR model given by the system dS -3SI dt dI 3SI 0.21 dt dR = 0.21 dt with initial conditions S(0) = 0.97, I(0) = 0.03, and R(0) = 0.
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