I think this is supposed to be an autonomous linear differential equation...t is not supposed to appear because the rate of change of the height of snow only depends on the amount of snow on the ground. It is equal to the difference between the rate of snowfall and the rate of snow removal, but the rate of snowfall is a constant...why is that? I'm having troubling understanding exactly why only 3/5 and not 3/5t appears in the differential equation

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 1CR
icon
Related questions
Question
100%

I think this is supposed to be an autonomous linear differential equation...t is not supposed to appear because the rate of change of the height of snow only depends on the amount of snow on the ground. It is equal to the difference between the rate of snowfall and the rate of snow removal, but the rate of snowfall is a constant...why is that? I'm having troubling understanding exactly why only 3/5 and not 3/5t appears in the differential equation

Expert Solution
steps

Step by step

Solved in 3 steps

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,
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax