The following differential equation describes the dynamics 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) = X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
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) =
X
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) = X
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning