To obtain some idea of the possible dangers of small

Chapter 8, Problem 1

(choose chapter or problem)

To obtain some idea of the possible dangers of small errors in the initial conditions, suchas those due to round-off, consider the initial value problemy= t + y 3, y(0) = 2.(a) Show that the solution is y = 1(t) = 2 t.(b) Suppose that in the initial condition a mistake is made, and 2.001 is used instead of 2.Determine the solution y = 2(t) in this case, and compare the difference 2(t) 1(t) att = 1 and as t .

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