Newton's law of cooling

[Chavi]

I came across of question that involved heating rather than cooling (TSSM 2007, exam 2, question 12). In that case, is the differential equation simply the positive value of Newton's law of cooling?
ie. where k > 0

[sajib_mostofa]

I came across of question that involved heating rather than cooling (TSSM 2007, exam 2, question 12). In that case, is the differential equation simply the positive value of Newton's law of cooling?
ie. where k > 0

I don't think is matters whether the value of k is positive or negative as when you integrate, your ultimately gonna be taking the k outside the integration sign.

[Chavi]

I came across of question that involved heating rather than cooling (TSSM 2007, exam 2, question 12). In that case, is the differential equation simply the positive value of Newton's law of cooling?
ie. where k > 0

I don't think is matters whether the value of k is positive or negative as when you integrate, your ultimately gonna be taking the k outside the integration sign.

It does, because you end up with a positive or negative exponential function depending on the value of k.

[fady_22]

If heating, then the rate of change of temperature would be positive. So yes, your answer would be right (as k>0).