Behavior of Solutions as t . In 33 and 34, we continue the discussion startedwith 37

Chapter 3, Problem 34

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Behavior of Solutions as t . In 33 and 34, we continue the discussion startedwith 37 through 39 of Section 3.4. Consider the differential equationay + by + cy = g(t), (i)where a, b, and c are positive.If g(t) = d, a constant, show that every solution of Eq. (i) approaches d/c as t .Whathappens if c = 0? What if b = 0 also?

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