Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 29CR
icon
Related questions
Question
Solve this differential equation:
dy
0.07y
dt
600
y(0) = 5
y(t) =
Transcribed Image Text:Solve this differential equation: dy 0.07y dt 600 y(0) = 5 y(t) =
A population P obeys the logistic model. It satisfies the equation
dP
6
P(11 – P) for P > 0.
dt
1100
(a) The population is increasing when
< P<
(b) The population is decreasing when P >
Transcribed Image Text:A population P obeys the logistic model. It satisfies the equation dP 6 P(11 – P) for P > 0. dt 1100 (a) The population is increasing when < P< (b) The population is decreasing when P >
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning