The rate of change of the temperatu

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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This question is designed to be answered with a calculator.
The rate of change of the temperature, T, of a cooling object is proportional to the difference between the
temperature and the surrounding temperature, Ts. If k is a positive constant, which differential equation models the
rate of change in the temperature?
dT
= - KT,-T
dt
dT
= - KT -Ts
dt
dt = - k(Ts-T)
dt
dT
= - k(T -T)
dt
Transcribed Image Text:This question is designed to be answered with a calculator. The rate of change of the temperature, T, of a cooling object is proportional to the difference between the temperature and the surrounding temperature, Ts. If k is a positive constant, which differential equation models the rate of change in the temperature? dT = - KT,-T dt dT = - KT -Ts dt dt = - k(Ts-T) dt dT = - k(T -T) dt
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