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Consider the First-Order Homogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right)$

Question 53

Multiple Choice

Consider the first-order homogeneous system of linear differential equations
$Consider the first-order homogeneous system of linear differential equations Which of these is the fundamental matrix (t) for this system? A) \psi(t) =\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right) B) \Psi(t) =\left(\begin{array}{ll}e^{3 t} & 8(t+8) e^{3 t} \\ 0 & e^{3 t}\end{array}\right) C) \psi(t) =\left(\begin{array}{ll}e^{-3 t}(t+8) e^{-3 t} \\ 0 & e^{-3 t}\end{array}\right) D) \psi(t) =\left(\begin{array}{ll}e^{-3 t} & e^{-3 t} \\ 0 & (t+8) e^{-3 t}\end{array}\right)$
Which of these is the fundamental matrix $Consider the first-order homogeneous system of linear differential equations Which of these is the fundamental matrix (t) for this system? A) \psi(t) =\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right) B) \Psi(t) =\left(\begin{array}{ll}e^{3 t} & 8(t+8) e^{3 t} \\ 0 & e^{3 t}\end{array}\right) C) \psi(t) =\left(\begin{array}{ll}e^{-3 t}(t+8) e^{-3 t} \\ 0 & e^{-3 t}\end{array}\right) D) \psi(t) =\left(\begin{array}{ll}e^{-3 t} & e^{-3 t} \\ 0 & (t+8) e^{-3 t}\end{array}\right)$ (t) for this system?

A) $\psi(t) =\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{ll}e^{3 t} & 8(t+8) e^{3 t} \\ 0 & e^{3 t}\end{array}\right)$
C) $\psi(t) =\left(\begin{array}{ll}e^{-3 t}(t+8) e^{-3 t} \\ 0 & e^{-3 t}\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{ll}e^{-3 t} & e^{-3 t} \\ 0 & (t+8) e^{-3 t}\end{array}\right)$

Consider the First-Order Homogeneous System of Linear Differential Equations ψ(t)=(0(t+8)e−3te−3te−3t) \psi(t)=\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right) ψ(t)=(0e−3t​(t+8)e−3te−3t​)

Multiple Choice

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Consider the First-Order Homogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{ll}0 & (t+8) e^{-3 t} \\ e^{-3 t} & e^{-3 t}\end{array}\right)$

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