The rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where t is measured in years. Write the differential equation to solve for W(t). Do not solve. MP dt = (150 – t)k MP k 150-W dt dW dt (150 + W)k dW dt (150 – W)k

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
icon
Related questions
Question
The rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where t is measured in years.
Write the differential equation to solve for W(t).
Do not solve.
dW
= (150 – t)k
dt
dW
k
dt
150–W
dW
(150 + W)k
dt
dW
= (150 – W)k
dt
Transcribed Image Text:The rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where t is measured in years. Write the differential equation to solve for W(t). Do not solve. dW = (150 – t)k dt dW k dt 150–W dW (150 + W)k dt dW = (150 – W)k dt
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage