3. An object at 50°F is put in an environment where the temperature is 100° F . After 5 minutes the temperature of the object reaches 60° F . a) Let T represent the temperature of the object after t minutes. Write a differential equation to model this situation. ( Hint study Newton's Law of cooling application in your textbook) b) Solve the differential equation c) Find the temperature of the object after 20 minutes.
3. An object at 50°F is put in an environment where the temperature is 100° F . After 5 minutes the temperature of the object reaches 60° F . a) Let T represent the temperature of the object after t minutes. Write a differential equation to model this situation. ( Hint study Newton's Law of cooling application in your textbook) b) Solve the differential equation c) Find the temperature of the object after 20 minutes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. An object at 50° F is put in an environment where the temperature is 100° F. After 5 minutes
the temperature of the object reaches 60° F.
a) Let T represent the temperature of the object after t minutes. Write a differential equation
to model this situation. ( Hint study Newton's Law of cooling application in your textbook)
b) Solve the differential equation
c) Find the temperature of the object after 20 minutes.
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