For what positive value of k does the function y = sin(kt) satisfy the differential equation y' + 256y = 0? 16 help (numbers) For what negative value of k does the function y = sin(kt) satisfy the differential equation y' + 256y = 0? -16 help (numbers) Similarly, for which positive value of k does the function y = cos(kt) satisfy the differential equation y" + 256y = 0? -16, + 16 help (numbers) A

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 what positive value of k does the function y = sin(kt) satisfy the differential equation y' + 256y = 0?
16
help (numbers)
For what negative value of k does the function y =
sin(kt) satisfy the differential equation y" + 256y = 0?
-16
help (numbers)
Similarly, for which positive value of k does the function y = cos(kt) satisfy the differential equation y" + 256y = 0?
-16, +16
help (numbers)
A
Transcribed Image Text:For what positive value of k does the function y = sin(kt) satisfy the differential equation y' + 256y = 0? 16 help (numbers) For what negative value of k does the function y = sin(kt) satisfy the differential equation y" + 256y = 0? -16 help (numbers) Similarly, for which positive value of k does the function y = cos(kt) satisfy the differential equation y" + 256y = 0? -16, +16 help (numbers) A
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