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ease spreads slowly through a large population. Let Q(t) be the proportion of the pulation that has been exposed to the disease within t years of its introduction. If 2'(t) = 0.15[1 – Q(t)] id Q(0) =0, then applying the Forward Euler formula with a step size of h=1 to estimate Q(i), for =1,...,5, yields: P(1) - Q1 = (2) Q2 = (3) Q3 (4) - Q4 = (5)~ Q5 = %3D

ease spreads slowly through a large population. Let Q(t) be the proportion of the pulation that has been exposed to the disease within t years of its introduction. If 2'(t) = 0.15[1 – Q(t)] id Q(0) =0, then applying the Forward Euler formula with a step size of h=1 to estimate Q(i), for =1,...,5, yields: P(1) - Q1 = (2) Q2 = (3) Q3 (4) - Q4 = (5)~ Q5 = %3D

Advanced Engineering Mathematics
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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An infectious disease spreads slowly through a large population. Let Q(t) be the proportion of the population that has been exposed to the disease within t years of its introduction. If Q'(t) = 0.15[1 – Q(t)] and Q(0)=0, then applying the Forward Euler formula with a step size of h=1 to estimate Q(i), for i=1,...,5, yields: $(1) - Q1 = %3D $(2) ~ Q2 = Þ(3) - Q3 = $(4) 2 Q4 $(5) ~ Q5 =
Transcribed Image Text:An infectious disease spreads slowly through a large population. Let Q(t) be the proportion of the population that has been exposed to the disease within t years of its introduction. If Q'(t) = 0.15[1 – Q(t)] and Q(0)=0, then applying the Forward Euler formula with a step size of h=1 to estimate Q(i), for i=1,...,5, yields: $(1) - Q1 = %3D $(2) ~ Q2 = Þ(3) - Q3 = $(4) 2 Q4 $(5) ~ Q5 =
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