Suppose you have a hot cup of coffee in a room where the temp is 45 Celcius. Let y(t) represent the temp. of coffee as a function of the number of minutes t that have passed since the coffee was poured

a) write a differential equation that applies to newtons law of cooling. use k as constant of proportionality.

3 answers

the heat flow is proportional to the difference in temperature.

dT/dt= -k(T-Tair) T air is a constant,
after this, i am to solve the differential but I am confused as to what I would make T air.

dT/dt=-k(45-Tair) what do i do with the other 2 variables since k is a constant of proportionality. and T air is a constant
Nevermind I didn't read the question correctly. I got it! Thank You!