Multiple choice

The matrix form of the linear system $\frac{dx}{dt}=3x-5y\hspace{0.2cm} and\frac {dy}{dt}=4x+8y$ is

  1. $\frac{d}{dt}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg) = \begin{bmatrix} \ 3 & -5 \\ \ 4 & 8 \\ \end{bmatrix}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg)$
  2. $\frac{d}{dt}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg) = \begin{bmatrix} \ 3 & 8 \\ \ 4 & -5 \\ \end{bmatrix}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg)$
  3. $\frac{d}{dt}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg) = \begin{bmatrix} \ 4 & -5 \\ \ 3 & 8 \\ \end{bmatrix}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg)$
  4. $\frac{d}{dt}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg) = \begin{bmatrix} \ 4 & 8 \\ \ 3 & -5 \\ \end{bmatrix}\bigg(\begin{matrix} \ x \\ \ y \\ \end{matrix}\bigg)$
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