Given the following differential equation: (D² – 4) y = e-3= sin e- Using the method of variation of parameters, which to the given difforontial oguntion?
Given the following differential equation: (D² – 4) y = e-3= sin e- Using the method of variation of parameters, which to the given difforontial oguntion?
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
14.
![Given the following differential equation:
(D² – 4) y = e-3z sin 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) cos 2a + B' (x) sin 2x = 0
-2A' (x) sin 2x + 2 B' (x) cos 2x = e
-32 sin e?
O A' (x) e2 + B' (x) e = 0
-2z
2A' (x) e2 + 2B' (x) e-2 =
= e-3 sin e
O A' (x) cos 2x + B' (x) sin 2x = 0
2A' (x) sin 2x – 2B' (x) cos 2x = e-3 sin e
O A' (2) et + B' (2) = 0
2A' (x) e - 2B' (2) = e-* sin e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78f1bb72-f4c4-450c-beff-9b192b090704%2Fe8386197-1079-48ae-9392-833febd753fc%2Fwwqzkx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following differential equation:
(D² – 4) y = e-3z sin 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) cos 2a + B' (x) sin 2x = 0
-2A' (x) sin 2x + 2 B' (x) cos 2x = e
-32 sin e?
O A' (x) e2 + B' (x) e = 0
-2z
2A' (x) e2 + 2B' (x) e-2 =
= e-3 sin e
O A' (x) cos 2x + B' (x) sin 2x = 0
2A' (x) sin 2x – 2B' (x) cos 2x = e-3 sin e
O A' (2) et + B' (2) = 0
2A' (x) e - 2B' (2) = e-* sin e
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