Newton’s law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, dT/dt=K(M(t)−T(t)), where K is a constant. Let K= 0.04 (min)^−1 and the temperature of the medium be constant, M(t) = 293 kelvins. If the body isinitially at 368 kelvins, use Euler’s method with h= 3 min to approximatethe temperature of the body after 90 minutes. Please provide the details ofEuler’s method and the calculations.
Newton’s law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, dT/dt=K(M(t)−T(t)), where K is a constant. Let K= 0.04 (min)^−1 and the temperature of the medium be constant, M(t) = 293 kelvins. If the body isinitially at 368 kelvins, use Euler’s method with h= 3 min to approximatethe temperature of the body after 90 minutes. Please provide the details ofEuler’s method and the calculations.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Newton’s law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, dT/dt=K(M(t)−T(t)), where K is a constant. Let K= 0.04 (min)^−1 and the temperature of the medium be constant, M(t) = 293 kelvins. If the body isinitially at 368 kelvins, use Euler’s method with h= 3 min to approximatethe temperature of the body after 90 minutes. Please provide the details ofEuler’s method and the calculations.
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