(a) Use a CAS to graph the solution curve of the initial-value problem in Problem 48 on the interval (-ˆž, ˆž).

(b) It is known that Fresnel sine integral S(x) †’ 1/2 as x †’ ˆž and S(x) †’ -1/2 as x †’ -ˆž. What does the solution y(x) approach as x †’ ˆž? As x†’ -ˆž?

(c) Use a CAS to ­nd the values of the absolute maximum and the absolute minimum of the solution y(x) on the interval.

Data from problem 48

The Fresnel sine integral function is defi­ned as

See Appendix A. Express the solution of the initial-value problem

dy/dx - (sinx²)y = 0, y(0) = 5

in terms of S(x).

Transcribed Image Text:

dt. sin S(x) = sın