Question
Newton’s law of cooling states that dx/dt = −k(x − A) where x is the temperature,...
Newton’s law of cooling states that dx/dt = −k(x − A) where x is
the temperature, t is time, A is the ambient temperature, and k
> 0 is a constant. Suppose that A = A0cos(ωt) for some constants
A0 and ω. That is, the ambient temperature oscillates (for example
night and day temperatures). a) Find the general solution. b) In
the long term, will the initial conditions make much of a
difference? Why or why not?
Homework Answers
Answer #1
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