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

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) $C$
B) $\mathrm{Ce}^{-8.8 \mathrm{t}}$
C) $\mathrm{Ct}^{-8.81}$
D) $C e^{-8.8 t} \sin (10 t)$
E) $\cos (10 t) +C$
F) $C \sin (10 t)$