Consider the First-Order Nonhomogeneous Initial Value Problem

Given a Fundamental

Multiple Choice

Consider the first-order nonhomogeneous initial value problem

Given a fundamental matrix (t) for the system, what is the solution of this initial value problem?

A) $\mathbf{x}(t) =\psi(t) \psi^{-1}(0.6) \left(\begin{array}{l}-6 \\ 2\end{array}\right) +\psi(0.6) \int_{0.6}^{t} \psi^{-1}(s) _{6 s}^{2 e^{5 s}} d s$
B) $x(t) =\psi^{-1}(0.6) \left(\begin{array}{l}-6 \\ 2\end{array}\right) +\psi(0.6) \int_{0.6}^{t} \psi^{-1}(s) { }_{6 s}^{2 e^{5 s}} d s$
C) $\mathbf{x}(t) =\psi(t) \psi^{-1}(0.6) \left(\begin{array}{c}-6 \\ 2\end{array}\right) +\psi(t) \int_{0.6}^{t} \psi^{-1}(s) _{6 s}^{2 e^{5 s}} d s$
D) $\mathbf{x}(t) =\psi^{-1}(0.6) \left(\begin{array}{c}-6 \\ 2\end{array}\right) +\psi(t) \int_{0.6}^{t} \psi^{-1}(s) e^{2 e^{5 s}} d s$