In each of 3 through 6, let 0(t) = 0 and define {n(t)} by
Chapter 2, Problem 3(choose chapter or problem)
In each of 3 through 6, let 0(t) = 0 and define {n(t)} by the method of successiveapproximations(a) Determine n(t) for an arbitrary value of n.(b) Plot n(t) for n = 1, ... , 4. Observe whether the iterates appear to be converging.(c) Express limn n(t) = (t) in terms of elementary functions; that is, solve the given initialvalue problem.(d) Plot |(t) n(t)| for n = 1, ... , 4. For each of 1(t), ... , 4(t), estimate the interval inwhich it is a reasonably good approximation to the actual solution.y= 2(y + 1), y(0) = 0
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