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What Is the Form of a Particular Solution of the Following

Question 6

Multiple Choice

What is the form of a particular solution of the following nonhomogeneous differential equation?
 What is the form of a particular solution of the following nonhomogeneous differential equation?   All capital letters in the choices represent arbitrary real constants. A)    A \cos (2 t) +B \sin (2 t) +C t+D   B)    \left(A t^{2}+B t+C\right)  \cos (2 t) +\left(D t^{2}+E t+F\right)  \sin (2 t) +G t+H   C)    A t^{2} \cos (2 t) +B t+C   D)    (A t+B)  \cos (2 t) +(C t+D)  \sin (2 t) +E t   E)    (A t+B)  \cos (2 t) +(C t+D)  \sin (2 t) +E t+F
All capital letters in the choices represent arbitrary real constants.


A) Acos(2t) +Bsin(2t) +Ct+D A \cos (2 t) +B \sin (2 t) +C t+D
B) (At2+Bt+C) cos(2t) +(Dt2+Et+F) sin(2t) +Gt+H \left(A t^{2}+B t+C\right) \cos (2 t) +\left(D t^{2}+E t+F\right) \sin (2 t) +G t+H
C) At2cos(2t) +Bt+C A t^{2} \cos (2 t) +B t+C
D) (At+B) cos(2t) +(Ct+D) sin(2t) +Et (A t+B) \cos (2 t) +(C t+D) \sin (2 t) +E t
E) (At+B) cos(2t) +(Ct+D) sin(2t) +Et+F (A t+B) \cos (2 t) +(C t+D) \sin (2 t) +E t+F

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