• theEric
Hi! Any help with this ODE word problem will be appreciated! I'll simplify it to the important data: We are keeping track of the temperature of coffee. Well, we have the temperature at two times and want a third. I would like to be able to conceptualize what's going on, if anyone can help! 7:30am $$200^\circ\text F$$ 7:45am $$120^\circ\text F$$ 8:00am $$?^\circ\text F$$ The rate of change of heat is a simplified version of Newton's Law of Cooling, that $$\dfrac{dT}{dt}=k(T-T_r)$$ where $$k$$ is a proportionality constant and $$T_r$$ is the room temperature ($$70^\circ\text F$$).
Differential Equations

Looking for something else?

Not the answer you are looking for? Search for more explanations.