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. write a differential equation that fits the above description.

The required equation would be

Where, k is constant of proportionality.

Step-by-step explanation:

Differential equation : is an equation that contains one or more functions and their derivatives.

Where, derivatives shows the rate of change of a variable with respect to other variable.

Given,

Change in temperature T of coffee with respect to t ( time ) is proportional to difference between the fixed temperature M and temperature of coffee,

i.e.    ( if M > T, Change is M - T if M < T then change is T - M)

Where,

k = constant of proportionality.

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step-by-step explanation:

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step-by-step explanation: