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O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

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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A suitable form of the particular solution of the non- homogeneous ODE: y" + 16y=e4x + x cos 4x is a) yp(x) = Ae4x + (Bx + C) cos 4x + (Dx + E) sin 4x b) y(x) = Ax²e4x + (Bx + C) cos 4x + (Dx + E) sin 4x c) yp(x) = Ae4x + Bx² cos 4x + Cx² sin 4x d) yp(x) = Ae4x + x(Bx + C) cos 4x + x(Dx + E) sin 4x e) y(x) = Axe4x + (Bx + C) cos 4x + (Dx + E) sin 4x
Transcribed Image Text:A suitable form of the particular solution of the non- homogeneous ODE: y" + 16y=e4x + x cos 4x is a) yp(x) = Ae4x + (Bx + C) cos 4x + (Dx + E) sin 4x b) y(x) = Ax²e4x + (Bx + C) cos 4x + (Dx + E) sin 4x c) yp(x) = Ae4x + Bx² cos 4x + Cx² sin 4x d) yp(x) = Ae4x + x(Bx + C) cos 4x + x(Dx + E) sin 4x e) y(x) = Axe4x + (Bx + C) cos 4x + (Dx + E) sin 4x
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