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Consider the First-Order Nonhomogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right)$

Question 92

Multiple Choice

Consider the first-order nonhomogeneous system of linear differential equations
$Consider the first-order nonhomogeneous system of linear differential equations Where the components of g(t) are continuous functions. Which of these is the fundamental matrix (t) for this system? A) \psi(t) =\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right) B) \Psi(t) =\left(\begin{array}{l}e^{3 t} 3 e^{-1 t} \\ e^{3 t}-1 e^{-1 t}\end{array}\right) C) \psi(t) =\left(\begin{array}{ll}-e^{3 t} & -1 e^{-1 t} \\ e^{3 t} & 3 e^{-1 t}\end{array}\right) D) \psi(t) =\left(\begin{array}{l}e^{-3 t} 3 e^{-1 t} \\ e^{-3 t}-1 e^{-1 t}\end{array}\right)$
Where the components of g(t) are continuous functions.
Which of these is the fundamental matrix $Consider the first-order nonhomogeneous system of linear differential equations Where the components of g(t) are continuous functions. Which of these is the fundamental matrix (t) for this system? A) \psi(t) =\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right) B) \Psi(t) =\left(\begin{array}{l}e^{3 t} 3 e^{-1 t} \\ e^{3 t}-1 e^{-1 t}\end{array}\right) C) \psi(t) =\left(\begin{array}{ll}-e^{3 t} & -1 e^{-1 t} \\ e^{3 t} & 3 e^{-1 t}\end{array}\right) D) \psi(t) =\left(\begin{array}{l}e^{-3 t} 3 e^{-1 t} \\ e^{-3 t}-1 e^{-1 t}\end{array}\right)$ (t) for this system?

A) $\psi(t) =\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{l}e^{3 t} 3 e^{-1 t} \\ e^{3 t}-1 e^{-1 t}\end{array}\right)$
C) $\psi(t) =\left(\begin{array}{ll}-e^{3 t} & -1 e^{-1 t} \\ e^{3 t} & 3 e^{-1 t}\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{l}e^{-3 t} 3 e^{-1 t} \\ e^{-3 t}-1 e^{-1 t}\end{array}\right)$

Consider the First-Order Nonhomogeneous System of Linear Differential Equations ψ(t)=(e3t−3e−1te3t1e−1t) \psi(t)=\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right) ψ(t)=(e3t−3e−1te3t1e−1t​)

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Consider the First-Order Nonhomogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{l}e^{3 t}-3 e^{-1 t} \\ e^{3 t} 1 e^{-1 t}\end{array}\right)$

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