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Class 9 Homework-

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}




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