A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of pigeons where t is measured in weeks. Assuming the growth continues proportionally, at the same rate, what is the differential equation which describes the growth of the pigeon population? dP O = (1.5) P dt O O O dP d t dP dt dP d t = (0.75) P = P + 1.5 = P +0.75
A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of pigeons where t is measured in weeks. Assuming the growth continues proportionally, at the same rate, what is the differential equation which describes the growth of the pigeon population? dP O = (1.5) P dt O O O dP d t dP dt dP d t = (0.75) P = P + 1.5 = P +0.75
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Please explain how to solve, thank you!

Transcribed Image Text:A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in
weeks.
Assuming the growth continues proportionally, at the same rate, what is the differential equation which describes the growth of the
pigeon population?
dP = (1.5) P
dt
dP = (0.75) P
d t
dP = P + 1.5
d t
dP = P +0.75
dt
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning