Given the following differential equation: (D² – 9) y = e-4= cos e Using the method of variation of parameters, which of the following equations result after the proposed particular solution is substituted to the given differential equation?

Calculus: Early Transcendentals
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Author:James Stewart
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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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14c
Given the following differential equation:
(D² – 9) y = e-4=
cos e-a
Using the method of variation of parameters, which of the following
equations result after the proposed particular solution is substituted to the
given differential equation?
O A' (x) cos 3x + B' (x) sin 3x = 0
-3A' (x) sin 3x + 3 B' (x) cos 3x
-4x
Cos e-*
O A' (x) cos 3x + B' (x) sin 3x = 0
3A' (x) sin 3x
3 B' (x) cos 3x
-4x
COs e-r
= e
O A' (x) e6 + B' (x) = 0
,6x
3A' (x) e6 - 3B' (x) = e- cos e-
O A (x) e3 + B' (x) e-3 = 0
3A' (x) e +3B' (x) e-3
4x
Cos e
%3D
Transcribed Image Text:Given the following differential equation: (D² – 9) y = e-4= cos e-a Using the method of variation of parameters, which of the following equations result after the proposed particular solution is substituted to the given differential equation? O A' (x) cos 3x + B' (x) sin 3x = 0 -3A' (x) sin 3x + 3 B' (x) cos 3x -4x Cos e-* O A' (x) cos 3x + B' (x) sin 3x = 0 3A' (x) sin 3x 3 B' (x) cos 3x -4x COs e-r = e O A' (x) e6 + B' (x) = 0 ,6x 3A' (x) e6 - 3B' (x) = e- cos e- O A (x) e3 + B' (x) e-3 = 0 3A' (x) e +3B' (x) e-3 4x Cos e %3D
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