Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings, provided that this difference is not too large. Write a differential equation that expresses Newton's Law of Cooling for this particular situation. (Use t as the independent variable, y as the dependent variable, R as the room temperature, and k as a proportionality constant.)

According to Newton’s law of cooling, the rate of loss of heat from a body and the difference in the temperature of the body and its surroundings are proportional to each other.

[tex]\frac{dy}{dt}=k(y_t-R)[/tex]

Here, [tex]y_t[/tex] represents temperature at time t, R as the room temperature, t as the independent variable, y as the dependent variable.

tallinn tallinn · Answer 2 · 2022-03-29T17:03:39+02:00

The equation that represents Newton's Law of Cooling for this particular situation is dy/dt = k(yt-R)

What is Newton’s law?

According to Newton’s law of cooling refer, the rate of loss of heat from a body and also the difference in the temperature of the body and also its surroundings are proportional to each other.

dy/dt is = k(yt-R)

Therefore, yt conveys temperature at time t, R as the room temperature, t as the independent variable, y as the dependent variable.

Find more information about Newton’s law here:

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