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.
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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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