1. The problem statement, all variables and given/known data Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its environment. Suppose the ambient air temperature is 70*F and that the rate constant is 0.05min^-1. Write a differential equation for the temperature change the object undergoes. 2. Relevant equations 3. The attempt at a solution Just starting with DE in preparation for fall. I just wrote: let q be heat, t be time in minutes. (dq/dt) = 0.05(q-70) ... Is that really it? And solving this differential equation, would mean finding a function, q(t), such that its derivative is equal to itself, minus 70, times 0.05, for any value of t? Does that mean that modeling and solving differential equations is mainly a method of finding an equation that models a situation by examining the behavior of its rate of change?