Newton’s Law of Cooling Calculus, Example Problems, Differential Equations

This calculus video tutorial explains how to solve newton’s law of cooling problems. It provides the formula needed to solve an example problem and it shows you how to derive the equation using differential equations. To is the initial temperature of the object. Ts is the surrounding temperature or room temperature. T(t) is the temperature at any time t or the final temperature of the object. The rate of cooling or the rate of change of temperature with respect to time is proportional to difference in the temperature of the object and the surrounding temperature.

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