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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 (4) + +17y" + 16y=5 sin x + cos 4x

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

Advanced Engineering Mathematics
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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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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