Question

history of newton law of cooling differential equations

Answer 1

Newton's law of cooling. The temperature of many objects can be modelled using a differential equation. Newton's law of cooling(or heating) states that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings.

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Answer 2

Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e. the temperature of its surroundings).

Newton's Law makes a statement about an instantaneous rate of change of the temperature.

We will see that when we translate this verbal statement into a differential equation, we arrive at a differential equation.

The solution to this equation will then be a function that tracks the complete record of the temperature over time.