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Write a differential equation that is a mathematical model of the situation described. The time rate of change in the temperature T of coffee is proportional to the difference between the fixed temperature M of air at time t and the temperature of the coffee at time t. The differential equation, with proportionality constant k, is (Do not explicitly include arguments of functions in your answer.)

Write a differential equation that is a mathematical model of the situation described. The time rate of change in the temperature T of coffee is proportional to the difference between the fixed temperature M of air at time t and the temperature of the coffee at time t. The differential equation, with proportionality constant k, is (Do not explicitly include arguments of functions in your answer.)

Advanced Engineering Mathematics
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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Write a differential equation that is a mathematical model of the situation described. The time rate of change in the temperature T of coffee is proportional to the difference between the fixed temperature M of the air at time t and the temperature of the coffee at time t. The differential equation, with proportionality constant k, is (Do not explicitly include arguments of functions in your answer.) Get more help - Clear all Check answer A20220118 20... 1/11/2022 2:00 PM JPG File 5 8:42 PM 1/11/2022 2:00 PM JPG File Earlier this month (5) Cycle 45 1/7/2022 9:27 AM iCalendar File
Transcribed Image Text:Write a differential equation that is a mathematical model of the situation described. The time rate of change in the temperature T of coffee is proportional to the difference between the fixed temperature M of the air at time t and the temperature of the coffee at time t. The differential equation, with proportionality constant k, is (Do not explicitly include arguments of functions in your answer.) Get more help - Clear all Check answer A20220118 20... 1/11/2022 2:00 PM JPG File 5 8:42 PM 1/11/2022 2:00 PM JPG File Earlier this month (5) Cycle 45 1/7/2022 9:27 AM iCalendar File
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