#6: A particular solution of the differential equation _y" – 12y + 35y = ex cosx has the following form (where A, B are constants to be determined): (A) Aexx cos x (B) none of these (C) Aex cos x (D) (Ax+b)ex (cosx+ sin x) (E) ex (A cos x + B sin x) (F) ex (Ax cos x + Bx sin x)

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 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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#6: A particular solution of the differential equation
_y" – 12y + 35y = ex cosx
has the following form (where A, B are constants to be determined):
(A) Aexx cos x (B) none of these (C) Aex cos x (D) (Ax+b)ex (cosx+ sin x) (E) ex (A cos x + B sin x)
(F) ex (Ax cos x + Bx sin x)
Transcribed Image Text:#6: A particular solution of the differential equation _y" – 12y + 35y = ex cosx has the following form (where A, B are constants to be determined): (A) Aexx cos x (B) none of these (C) Aex cos x (D) (Ax+b)ex (cosx+ sin x) (E) ex (A cos x + B sin x) (F) ex (Ax cos x + Bx sin x)
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