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(1)}. where K is a constant. Let K= 0.04 (min) and the temperature of the medium be constant, M(t) = 292 kelvins. If the body is initially at 355 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. IP %3D (a) The temperature of the body after 30 minutes is kelvins. (Round to two decimal places as needed.)

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(1)}. where K is a constant. Let K= 0.04 (min) and the temperature of the medium be constant, M(t) = 292 kelvins. If the body is initially at 355 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. IP %3D (a) The temperature of the body after 30 minutes is kelvins. (Round to two decimal places as needed.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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(1)}. where K is a constant. Let K= 0.04
(min) and the temperature of the medium be constant, M(t) = 292 kelvins. If the body is initially at 355 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.
IP
%3D
(a) The temperature of the body after 30 minutes is kelvins.
(Round to two decimal places as needed.)

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