The following differential equation describes the dynamics of an experimental yeast population dN dt where N(t) is the population size (in millions of individuals per mL) at time t (in hours). = (0.61 0.0026N)N Suppose N(0) = 0.2. Use Euler's method with a step size of h = 0.5 to estimate the population size after four hours. (Round your answer to four decimal places.) N(4) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The following differential equation describes the dynamics of an experimental yeast population
dN
dt
where N(t) is the population size (in millions of individuals per mL) at time t (in hours).
= (0.61 0.0026N)N
Suppose N(0) = 0.2. Use Euler's method with a step size of h = 0.5 to estimate the population size after four hours.
(Round your answer to four decimal places.)
N(4) =
Transcribed Image Text:The following differential equation describes the dynamics of an experimental yeast population dN dt where N(t) is the population size (in millions of individuals per mL) at time t (in hours). = (0.61 0.0026N)N Suppose N(0) = 0.2. Use Euler's method with a step size of h = 0.5 to estimate the population size after four hours. (Round your answer to four decimal places.) N(4) =
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