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

Question

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

anonymous · Answer

$$dH/dt = -k(H-68)$$

anonymous · Answer

why is it a  negative k

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

do you know why?