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Suppose a Seventh-Order Homogeneous Linear Differential Equation with Constant Coefficients $\mathrm{Ct}$

Question 3

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Suppose a seventh-order homogeneous linear differential equation with constant coefficients has these characteristic roots: 0, 0, 0, 3 - i, 3 + $Suppose a seventh-order homogeneous linear differential equation with constant coefficients has these characteristic roots: 0, 0, 0, 3 - i, 3 + i, - i, i Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply. A) \mathrm{Ct} B) \mathrm{Ct}^{3} C) t^{2}+C D) \mathrm{Ce}^{3 t} \cos (\sqrt{3} t) E) \mathrm{Ce}^{3 t} F) C e^{\sqrt{3} t} \sin (3 t) G) t e^{\sqrt{3} t}+C H) C \sin (\sqrt{3} t)$ i, - $Suppose a seventh-order homogeneous linear differential equation with constant coefficients has these characteristic roots: 0, 0, 0, 3 - i, 3 + i, - i, i Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply. A) \mathrm{Ct} B) \mathrm{Ct}^{3} C) t^{2}+C D) \mathrm{Ce}^{3 t} \cos (\sqrt{3} t) E) \mathrm{Ce}^{3 t} F) C e^{\sqrt{3} t} \sin (3 t) G) t e^{\sqrt{3} t}+C H) C \sin (\sqrt{3} t)$ i, $Suppose a seventh-order homogeneous linear differential equation with constant coefficients has these characteristic roots: 0, 0, 0, 3 - i, 3 + i, - i, i Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply. A) \mathrm{Ct} B) \mathrm{Ct}^{3} C) t^{2}+C D) \mathrm{Ce}^{3 t} \cos (\sqrt{3} t) E) \mathrm{Ce}^{3 t} F) C e^{\sqrt{3} t} \sin (3 t) G) t e^{\sqrt{3} t}+C H) C \sin (\sqrt{3} t)$ i
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) $\mathrm{Ct}$
B) $\mathrm{Ct}^{3}$
C) $t^{2}+C$
D) $\mathrm{Ce}^{3 t} \cos (\sqrt{3} t)$
E) $\mathrm{Ce}^{3 t}$
F) $C e^{\sqrt{3} t} \sin (3 t)$
G) $t e^{\sqrt{3} t}+C$
H) $C \sin (\sqrt{3} t)$

Suppose a Seventh-Order Homogeneous Linear Differential Equation with Constant Coefficients Ct \mathrm{Ct} Ct

Multiple Choice

Correct Answer:VerifiedShow Answer

Suppose a Seventh-Order Homogeneous Linear Differential Equation with Constant Coefficients $\mathrm{Ct}$

Correct Answer:
Verified