In Problems 14-24, you will need a computer and a programmed version of the
Appendix G describes various websites and commercial software that sketch direction fields and automate most of the differential equation algorithms discussed in this book.
In Project C of Chapter 4, it was shown that the simple pendulum equation
has periodic solutions when the initial displacement and velocity are small. Show that the period of the solution may depend on the initial conditions by using the vectorized Runge-Kutta algorithm with
a.
b.
c.
[Hint: Approximate the length of time it takes to reach
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Check out a sample textbook solutionChapter 5 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
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