The first order system of equations equivalent to
x″
is
\frac{dX}{dt} =A(t)X with \; X= {\begin{pmatrix} x_1\\x_2\end{pmatrix} },and \frac{dX}{dt}=\begin{pmatrix} x'_1\\x'_2 \end{pmatrix},
where A(t) is the 2\times2 matrix
(a) \begin{pmatrix} 1&0\\-p&-q \end{pmatrix} (b)\begin{pmatrix}0&1\\-q&-p \end{pmatrix}(c)\begin{pmatrix} 0&1\\q&p \end{pmatrix} (d) \begin{pmatrix}-p&-q \\1&0\end{pmatrix}