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1. Solve the system: x' =3x+5y, y' =-x-y2. Find the general solution to


Solve the system: \(x^{\prime}=3 x+5 y, y^{\prime}=-x-y\)

Find the general solution to

$$ \vec{x}^{\prime}=\left(\begin{array}{ll} 2 & 1 \\ 0 & 2 \end{array}\right) \vec{x} $$

Find the general solution to

$$ \vec{x}^{\prime}=\left(\begin{array}{ccc} 3 & 0 & -2 \\ 0 & 5 & 0 \\ 2 & 0 & 3 \end{array}\right) \vec{x} $$

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