(b) It is known that Fresnel sine integral S(x) 1/2 as x and S(x) -1/2 as x -. What does the solution y(x) approach as x ? As x -?
(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).
A First Course in Differential Equations with Modeling Applications
11th edition
Authors: Dennis G. Zill
ISBN: 978-1305965720