(1 point) Solve the system \begin{equation*} \frac{dx}{dt} = \begin{bmatrix} 0 & 3\\ -2 & 5 \end{bmatrix} x \end{equation*} with the initial value \begin{equation*} x(0) = \begin{bmatrix} -7\\ -6 \end{bmatrix}. \end{equation*} \begin{equation*} x(t) = \begin{bmatrix} \\\\ \end{bmatrix}. \end{equation*}
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Step 1: The given system of differential equations is: dx/dt = 0 dy/dt = 3 Show more…
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