(a) The Fresnel sine integral is defined by S(x) = f5sin(7Tt 2/2)dt. Express the
Chapter 2, Problem 53(choose chapter or problem)
(a) The Fresnel sine integral is defined by S(x) = f5sin(7Tt 2/2)dt. Express the solution y(x) of the initialvalue problem y' - (sin x2)y = 0, y(O) = 5, in terms of S(x). (b) Use a CAS to graph the solution curve for the IVP on (-oo, oo). (c) It is known that S(x) as x oo and S(x) - as x -oo. What does the solution y(x) approach as x oo? As x -oo? (d) Use a CAS to find the values of the absolute maximum and the absolute minimum of the solution y(x).
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