Q5) Consider y(5) +y" = 3 sint + cos2 t. Then a suitable form of the particular solution can be written as yp(t) = (A) 442

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q5) Consider y(5) +y"" = 3 sint + cos² t. Then a suitable form of the particular
solution can be written as yp(t) =
(A) At² + Bt cost + Ct sint + D cos(2t) + E sin(2t)
(B) At+ Bt cost + Ct sint + D cos(2t) + E sin(2t)
(C) At³+ Bt cost + Ct sint + D cos(2t) + E sin(2t)
(D) At³ + B cost + C sint + D cos(2t) + E sin(2t)
(E) At³ + B cost + C sint + Dt cos(2t) + Et sin(2t)
Transcribed Image Text:Q5) Consider y(5) +y"" = 3 sint + cos² t. Then a suitable form of the particular solution can be written as yp(t) = (A) At² + Bt cost + Ct sint + D cos(2t) + E sin(2t) (B) At+ Bt cost + Ct sint + D cos(2t) + E sin(2t) (C) At³+ Bt cost + Ct sint + D cos(2t) + E sin(2t) (D) At³ + B cost + C sint + D cos(2t) + E sin(2t) (E) At³ + B cost + C sint + Dt cos(2t) + Et sin(2t)
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