Consider the First-Order Homogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{ll}e^{4 t}-4 e^{-5 t} \\ e^{4 t} 5 e^{-5 t}\end{array}\right)$

Multiple Choice

Consider the first-order homogeneous system of linear differential equations

Which of these is the fundamental matrix ?(t) for this system?

A) $\psi(t) =\left(\begin{array}{ll}e^{4 t}-4 e^{-5 t} \\ e^{4 t} 5 e^{-5 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{ll}-e^{4 t} & -5 e^{-5 t} \\ e^{4 t} & 4 e^{-5 t}\end{array}\right)$
C) $\Psi(t) =\left(\begin{array}{l}e^{4 t} 4 e^{-5 t} \\ e^{4 t}-5 e^{-5 t}\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{l}e^{-4 t} 4 e^{-5 t} \\ e^{-4 t}-5 e^{-5 t}\end{array}\right)$