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Write a differential equation that fits the physical description. 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.

User Iajrz
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1 Answer

4 votes

Answer:


(dT)/(dt)=k|T-M|

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.


(dT)/(dt)\propto |T-M|


\implies (dT)/(dt)=k|T-M|

Where, k is the constant of proportionality.

User Ziv Glazer
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