Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. If we measure temperature in degrees Celsius and time in minutes, the constant of proportionality k equals 0.4. Suppose the ambient temperature TA(t) is equal to a constant 68 degrees Celsius. Write the differential equation that describes the time evolution of the temperature T of the object.
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Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...
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