Ask Me Help Desk - how do you show that dT/dt=k(T-5)

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how do you show that dT/dt=k(T-5)

How do you show this

Taking a stab here - are you referring to a heat transfer problem (T = temperature and t = time)? If so, the rate of heat transfer under conduction can be modeled as being proportional to the temperature difference between the two bodies. Hence

$<br /> \frac {dT}{dt} = k (\Delta T)<br />$

It appears that you have been given information that one of the bodies is held at a constant 5 degrees. Does this help?

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