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Mathematica (diffeq) - solving a function inside of a diffeq in terms of another function
Posted on 2011-04-19
Hello, I've been scratching my head on a particular question for hours now, and it's pretty clear that I need help. I have a diffeq:
y'[t]==d[t] (40-y[t])+0.5 (o[t]-y[t])
y[0]==starter
, and I am supposed to come up with a function d[t] expressed in terms of o[t] so that the solutions of y[t] of the function diffeq above settle in at about 50. How would I go about doing this? I've tried separation of variables and DSolve to no avail. Any ideas? I need a good explanation more than just the answer. Thanks! o[t], incidentally, equals 80-11 Cos[[Pi t)/12]+3.25691 Sin[Pi t/12]