Given the differential equation y " +y= sec(x). 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? Od (x) sin(x) + c (x) cos(x) = 0 (x) cos(x) – c, (x) sin(x) = sec(x) Od (x) sin(x) + c, (2) cos(x) = cos(x) C (x) cos(x) – c, (x) sin(x) = sec(x) Od (x) sin(x) + c, (x) cos(x) = sec(x) (z) cos(x) – c (x) sin(æ) = 0 %3D O (x) sin(x) + c, (x) cos(x) = 0 4 (z) sin(x) – c, (2) cos(2) = sec(x)
Given the differential equation y " +y= sec(x). 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? Od (x) sin(x) + c (x) cos(x) = 0 (x) cos(x) – c, (x) sin(x) = sec(x) Od (x) sin(x) + c, (2) cos(x) = cos(x) C (x) cos(x) – c, (x) sin(x) = sec(x) Od (x) sin(x) + c, (x) cos(x) = sec(x) (z) cos(x) – c (x) sin(æ) = 0 %3D O (x) sin(x) + c, (x) cos(x) = 0 4 (z) sin(x) – c, (2) cos(2) = sec(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Given the differential equation y " +y= sec(x). 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 (x) sin(x) + c (x) cos(x) = 0
a (x) cos(x) – c, (x) sin(x) = sec(x)
%3D
Od (x) sin(x) + c, (2) cos(x) = cos(x)
C (r) cos(x) – c, (x) sin(x) = sec(x)
Od (x) sin(x) + c, (x) cos(x) = sec(x)
(2) cos(x) – c (x) sin(æ) = 0
%3D
O (x) sin(x) + c, (x) cos(x) = 0
4 (x) sin(x) – c, (2) cos(x) = sec(x)
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