Consider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y? A m = 1, 1, 1; y = C, e* + C,x e* + C,x² e* т %3D 0, +1; у%3D С, + С, е* + Ce C, e* 2 m = - 1, 1, 1; y = C, e¯* + C, e* + C,x e* m = 0, ±i; y = C, + C, cos x + C, sin x (C)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Consider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y?
A
m = 1, 1, 1; y = C, e* + C,x e* + C,x² e*
т %3D 0, +1; у%3D С, + С, е* + Ce
C, e*
2
m = - 1, 1, 1; y = C, e¯* + C, e* + C,x e*
m = 0, ±i; y = C, + C, cos x + C, sin x
Transcribed Image Text:Consider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y? A m = 1, 1, 1; y = C, e* + C,x e* + C,x² e* т %3D 0, +1; у%3D С, + С, е* + Ce C, e* 2 m = - 1, 1, 1; y = C, e¯* + C, e* + C,x e* m = 0, ±i; y = C, + C, cos x + C, sin x
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