d² y dx² dy 4- dx + 4y = -3 cos (3x), and the problem of finding a particular integral by the method of undetermined coefficients using the trial unction ypsin (3x) + q cos(3x). hich option that gives a set of equations to determine the coefficients 3p8q = -3, -8p - 3q = 0 -12p - 5q = −3, -12p8q = -3, = -3, 3p - 5q = -3, -5p - 3q = 0 -5p+12q = 0 -8p + 12q = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Consider the differential equation
d²y
dx²
dy
4- +4y=
dx
and the problem of finding a particular integral by the method of undetermined coefficients using the trial
function y = p sin(3x) + q cos(3x).
a) 3p8q=
b) -12p - 5q
c)
d)
а)
|
Which option that gives a set of equations to determine the coefficients
=
-3,
=
: −3 cos (3x),
=
-3,
-12p - 8q = -3,
3p
3р - 5q = -3,
-8p - 3q = 0
-5p+12q = 0
-8p + 12q = 0
-5p - 3q = 0
Transcribed Image Text:Consider the differential equation d²y dx² dy 4- +4y= dx and the problem of finding a particular integral by the method of undetermined coefficients using the trial function y = p sin(3x) + q cos(3x). a) 3p8q= b) -12p - 5q c) d) а) | Which option that gives a set of equations to determine the coefficients = -3, = : −3 cos (3x), = -3, -12p - 8q = -3, 3p 3р - 5q = -3, -8p - 3q = 0 -5p+12q = 0 -8p + 12q = 0 -5p - 3q = 0
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