What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C

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 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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What is the form of a particular solution of the following nonhomogeneous differential equation?
y(4) + 8y" +16y =
All capital letters in the choices represent arbitrary real constants.
T
7
cos 21+
1/1
○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H
O (At + B) cos 2t + (Ct + D) sin 2t + Et + F
O (At+ B) cos 2t+ (Ct + D) sin 2t + Et
A cos 2t+ B sin 2t + Ct + D
O At² cos 2t+ Bt + C
Transcribed Image Text:What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,