Consider the First-Order Nonhomogeneous Initial Value Problem

Given a Fundamental

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) $\quad \mathbf{x}(t) =\psi(t) \psi^{-1}(2.2) \left(\begin{array}{l}2 \\ 4\end{array}\right) +\psi(t) \int_{2.2}^{t} \psi^{-1}(s) { }_{3 s^{2}+6 s^{7}}^{-10} d s$
B) $\mathbf{x}(t) =\psi(2.2) \left(\begin{array}{l}2 \\ 4\end{array}\right) +\psi(t) \int_{2.2}^{t} \psi^{-1}(s) { }_{3 s^{2}+6 s^{7}}^{-10} d s$
C) $\mathbf{x}(t) =\psi^{-1}(2.2) \left(\begin{array}{l}2 \\ 4\end{array}\right) +\psi(t) \int_{2.2}^{t} \psi^{-1}(s) { }_{3 s^{2}+6 s^{7}}^{-10} d s$
D) $\mathbf{x}(t) =\psi^{-1}(2.2) \left(\begin{array}{l}2 \\ 4\end{array}\right) +\psi(2.2) \int_{2.2}^{t} \psi^{-1}(s) =-10$