The following differential equation describes the dynamics of an experimental yeast population dN = (0.61 -0.0026N)N dt where N(t) is the population size (in millions of individuals per mL) at time t (in hours). 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.) W(4) =
The following differential equation describes the dynamics of an experimental yeast population dN = (0.61 -0.0026N)N dt where N(t) is the population size (in millions of individuals per mL) at time t (in hours). 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.) W(4) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1RQ
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Transcribed Image Text:The following differential equation describes the dynamics of an experimental yeast population
dN = (0.61 0.0026N)N
dt
where N(t) is the population size (in millions of individuals per mL) at time t (in hours).
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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