Question

An object is placed in 68 F room. write a differentiatal equation for H , the temperature of the object at time t.

Answer 1

\[dH/dt = -k(H-68)\]

Answer 2

why is it a negative k

Answer 3

Well, the negative indicates that the rate of change is going down: The closer you get to 68 degrees, the more slowly you change temperature.

k is just a constant :D

Answer 4

is it safe to say that when we are dealing with temperature it will bee a negative k

Answer 5

No. It HAS TO BE A NEGATIVE K. This is RATE, not the actual temperature.

Answer 6

okay . so i am trying to the problem but the differential equation has been written like this dH/dt=k(68−H)

Answer 7

do you know why?