Consider the First-Order Nonhomogeneous Initial Value Problem

Which of These

Multiple Choice

Consider the first-order nonhomogeneous initial value problem

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

A) $\psi(t) =\left(\begin{array}{ll}0 & e^{3 t} \\ e^{3 t} & 4(t+4) e^{3 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{ll}0 & e^{-3 t} \\ e^{-3 t} & 4(t+4) e^{-3 t}\end{array}\right)$
C) $\Psi(t) =\left(\begin{array}{ll}e^{3 t} e^{3 t} \\ 0 & 4(t+4) e^{3 t}\end{array}\right)$
D) $\Psi(t) =\left(\begin{array}{ll}e^{-3 t} e^{-3 t} \\ 0 & (t+4) e^{-3 t}\end{array}\right)$