Consider the differential equation dy ď²y dx² +2- + 2y = 3 sin(2x), dx and the problem of finding a particular integral by the method of undetermined coefficients using the trial function y = p sin(2x) + q cos(2x). Select the option that gives a set of equations to determine the coefficients. Select one: 4p - 3q = 0, -3p - 4q = 3 4p - 2q = 0, -2p - 4q = 3 2p - 3q = 0, -3p-2q = 3 2p 2q = 0, -2p - 2q = 3

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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Consider the differential equation
dy
d'y
dx²
+2- + 2y = 3 sin(2x),
d.x
and the problem of finding a particular integral by the method of undetermined coefficients using the trial
function y = p sin(2x) + q cos(2x).
Select the option that gives a set of equations to determine the coefficients.
Select one:
4p - 3q = 0,
-3p - 4q = 3
4p2q = 0,
-2p - 4q = 3
2p 3q = 0,
-3p - 2q = 3
2p2q = 0,
-2p - 2q = 3
Transcribed Image Text:Consider the differential equation dy d'y dx² +2- + 2y = 3 sin(2x), d.x and the problem of finding a particular integral by the method of undetermined coefficients using the trial function y = p sin(2x) + q cos(2x). Select the option that gives a set of equations to determine the coefficients. Select one: 4p - 3q = 0, -3p - 4q = 3 4p2q = 0, -2p - 4q = 3 2p 3q = 0, -3p - 2q = 3 2p2q = 0, -2p - 2q = 3
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