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Suppose a Fourth-Order Homogeneous Linear Differential Equation with Constant Coefficients C C

Question 25

Multiple Choice

Suppose a fourth-order homogeneous linear differential equation with constant coefficients has these characteristic roots: -8.8, 8.8, 10i, -10i
Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.
Select all that apply.


A) C C
B) Ce8.8t \mathrm{Ce}^{-8.8 \mathrm{t}}
C) Ct8.81 \mathrm{Ct}^{-8.81}
D) Ce8.8tsin(10t) C e^{-8.8 t} \sin (10 t)
E) cos(10t) +C \cos (10 t) +C
F) Csin(10t) C \sin (10 t)

Correct Answer:

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