Explanation Given information: Consider the differential equation of the bacterial population, d b d t = e − b ( t ) with solution b ( t ) = ln ( t ) . Calculation: The differential equation of the bacterial population, d b d t = e − b ( t ) with solution b ( t ) = ln ( t ) d b d t = e − b ( t ) has solution b ( t ) = ln ( t ) The equation d b d t = e − b ( t ) says that the rate of change of the population decreases exponentially over time

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

3rd Edition

ISBN: 9780840064189

Author: Frederick R. Adler

Publisher: Cengage Learning

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 2.8, Problem 44E

To determine

To justify:The solution dbdt=e−b(t) with solution b(t)=ln(t) is an increasing or decreasing function.

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Chapter 2.8, Problem 43E

Chapter 2.8, Problem 45E

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Chapter 2 Solutions

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

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To justify: The solution d b d t = e − b ( t ) with solution b ( t ) = ln ( t ) is an increasing or decreasing function.

Solution Summary: The author analyzes the differential equation of the bacterial population.

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To justify:The solution dbdt=e−b(t) with solution b(t)=ln(t) is an increasing or decreasing function.

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Chapter 2 Solutions