Problem #6: A particular solution of the differential equation y" - 16y +63y = e7x cos x has the following form (where A, B are constants to be determined): (A) (Ax + b)ex (cos x + sinx) (B) ex (4x cos x + Bx sinx) (C) ex (4 cos x + B sinx) (D) none of these (E) 4e7xx *x cosx (F) Aex cos.x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem #6: A particular solution of the differential equation
y" - 16y +63y = e7x cos x
has the following form (where A, B are constants to be determined):
(A) (Ax + b)ex (cos x + sinx) (B) ex (4x cos x + Bx sinx) (C) ex (4 cos x + B sinx) (D) none of these
(E) Ae¹xx
*x cosx (F) Aex cos.x
Transcribed Image Text:Problem #6: A particular solution of the differential equation y" - 16y +63y = e7x cos x has the following form (where A, B are constants to be determined): (A) (Ax + b)ex (cos x + sinx) (B) ex (4x cos x + Bx sinx) (C) ex (4 cos x + B sinx) (D) none of these (E) Ae¹xx *x cosx (F) Aex cos.x
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