Textbook ExpertVerified Tutor
31 Dec 2021
Given information
Here we have room temperature 
The initial temperature of the coffee is 
We have to solve the differential equation to find an expression for the temperature of the coffee at the time 
.
Step-by-step explanation
Step 1.
By the law of cooling we have,
The rate of change of temperature 
is proportional to 
where 
is room temperature.
is proportional to where is room temperature.Then differential equation becomes 
where is time.
where is time.Here 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23a
- Problem 23b
- Problem 23c
- Problem 24
- Problem 25
- Problem 26
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 28c
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 37
- Problem 38
- Problem 38
- Problem 39
- Problem 39
- Problem 40a
- Problem 40a
- Problem 40b
- Problem 40b
- Problem 41a
- Problem 41b
- Problem 42
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 44c
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50a
- Problem 50b
- Problem 51a
- Problem 51b
- Problem 53a
- Problem 53b
- Problem 54a
- Problem 54b
- Problem 54c