For the equation y" + w?y = 0, Show that y(x) = A sin wx + B cos wx is a solution for all values of the arbitrary constants A and B. What is the interval of validity for this solution?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the equation y" + w?y = 0,
cos wx is a solution for all values of the
Show that y(x) = A sin wx +
arbitrary constants A and B.
What is the interval of validity for this solution?
Transcribed Image Text:For the equation y" + w?y = 0, cos wx is a solution for all values of the Show that y(x) = A sin wx + arbitrary constants A and B. What is the interval of validity for this solution?
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