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? O A' (x) eš + B' (x) e-3ª = 0 3A' (x) e +3B' (2) e 3 = e 4x COs e O A' (x) cos 3x + B' (x) sin 3x =0 %3D -3A' (x) sin 3x + 3 B' (x) cos 3x COs e-* O A' (x) e3r + B' (x) e-3ª = 0 3A' (x) e3z – 3B' (x) e3ª = e¬4¤ cos e -3x %3D O A' (x) cos 3æ + B' (x) sin 3x = 0 3A' (x) sin 3x – 3 B' (x) cos 3x -4x Cos e
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? O A' (x) eš + B' (x) e-3ª = 0 3A' (x) e +3B' (2) e 3 = e 4x COs e O A' (x) cos 3x + B' (x) sin 3x =0 %3D -3A' (x) sin 3x + 3 B' (x) cos 3x COs e-* O A' (x) e3r + B' (x) e-3ª = 0 3A' (x) e3z – 3B' (x) e3ª = e¬4¤ cos e -3x %3D O A' (x) cos 3æ + B' (x) sin 3x = 0 3A' (x) sin 3x – 3 B' (x) cos 3x -4x Cos e
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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Question
33.
![Given the following differential equation:
(D² – 9) y = e-4z 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?
O A (x) e3 + B' (x) e-3ª = 0
3x
3A' (x) e“ + 3B' (x) e 3 = e4 cos e-
O A' (x) cos 3 + B' (x) sin 3x
-3A' (x) sin 3æ + 3 B' (x) cos 3x
Cos e-r
O A (x) e3 + B' (x) e 3 = 0
,3x
3A' (x) e3
- 3B' (a) e-3* = e
-4x
Cs e
|
O A' (x) cos 3x + B' (x) sin 3x = 0
3A' (x) sin 3x – 3 B' (x) cos 3x
-4x
cos e
= e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6901a79-ec70-418f-bd04-90b0c5cf940b%2Fb76a5c09-7fbd-4a98-9cbc-f0144da554f2%2Fg8x0luv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following differential equation:
(D² – 9) y = e-4z 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?
O A (x) e3 + B' (x) e-3ª = 0
3x
3A' (x) e“ + 3B' (x) e 3 = e4 cos e-
O A' (x) cos 3 + B' (x) sin 3x
-3A' (x) sin 3æ + 3 B' (x) cos 3x
Cos e-r
O A (x) e3 + B' (x) e 3 = 0
,3x
3A' (x) e3
- 3B' (a) e-3* = e
-4x
Cs e
|
O A' (x) cos 3x + B' (x) sin 3x = 0
3A' (x) sin 3x – 3 B' (x) cos 3x
-4x
cos e
= e
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