Answer:
[tex]\frac{dT}{dt}=k|T-M|[/tex]
Step-by-step explanation:
Given,
The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the air at time t and the temperature of the coffee at time t,
i.e.
[tex]\frac{dT}{dt}\propto |T-M|[/tex]
[tex]\implies \frac{dT}{dt}=k|T-M|[/tex]
Where, k is the constant of proportionality.
