A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?
A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?
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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Transcribed Image Text:EXERCISE 15C
In the problems below, assume that the rate of change of the tempera-
ture of a body obeys the law given in (15.3).
1. A body whose temperature is 100° is placed in a medium which is kept at a
constant temperature of 20°. In 10 min the temperature of the body falls
to 60°. (a) Find the temperature T of the body as a function of the time t.
(b) Find the temperature of the body after 40 min. (c) When will the body's
temperature be 50°?
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