show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given differential equation. Then verify, again by direct substitution, that any linear combination Cy y1(t) + C2 y2(t) of the two given solutions is also a solution. y'' + 4y = 0, y1(t) = cos 2t, y2(t) = sin 2t
show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given differential equation. Then verify, again by direct substitution, that any linear combination Cy y1(t) + C2 y2(t) of the two given solutions is also a solution. y'' + 4y = 0, y1(t) = cos 2t, y2(t) = sin 2t
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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show, by direct substitution, that the given
functions y1(t) and y2(t) are solutions of the given differential
equation. Then verify, again by direct substitution, that any linear combination Cy y1(t) + C2 y2(t) of the two given solutions is also a solution.
y'' + 4y = 0, y1(t) = cos 2t, y2(t) = sin 2t
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