dT 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,KIM(t)- T(t)], where K is a constant. Let K=0.03 (min) and the temperature of the medium e constant, M(t) = 295 kelvins. If the body is initially at 366 kelvins, use Euler's method with h = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
dT 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,KIM(t)- T(t)], where K is a constant. Let K=0.03 (min) and the temperature of the medium e constant, M(t) = 295 kelvins. If the body is initially at 366 kelvins, use Euler's method with h = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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, K[M(t) – T(t)], where K is a constant. Let K= 0.03 (min) and the
temperature of the medium be constant, M(t) = 295 kelvins. If the body is initially at 366 kelvins, use Euler's method with h= 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
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Transcribed Image Text:dT
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, K[M(t) – T(t)], where K is a constant. Let K= 0.03 (min) and the
temperature of the medium be constant, M(t) = 295 kelvins. If the body is initially at 366 kelvins, use Euler's method with h= 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
=
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