Set up the appropriate form of a particular solution y, for the following differential equation, but do not determine the values of the coefficients. y (4) + +17y" + 16y=5 sin x + cos 4x

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.CR: Chapter 11 Review
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Set up the appropriate form of a particular solution y, for the following differential equation, but do not determine the values of the coefficients.
y+17y" + 16y=5 sin x + cos 4x
Which of the following is the appropriate form of a particular solution yp?
OA. y₂ = A cos x+B sinx+C cos 4x + D sin 4x
OB. y = (A+BX+Cx² +Dx²³) e*
OC. yp = Ax cos x + Bxsin x + Cx cos 4x +Dx sin 4x
OD.
Yp = (A + Bx)e* + C sin 4x + D cos 4x
Transcribed Image Text:Set up the appropriate form of a particular solution y, for the following differential equation, but do not determine the values of the coefficients. y+17y" + 16y=5 sin x + cos 4x Which of the following is the appropriate form of a particular solution yp? OA. y₂ = A cos x+B sinx+C cos 4x + D sin 4x OB. y = (A+BX+Cx² +Dx²³) e* OC. yp = Ax cos x + Bxsin x + Cx cos 4x +Dx sin 4x OD. Yp = (A + Bx)e* + C sin 4x + D cos 4x
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,