Consider the system of differential equations $$\begin{array}{rcl} \displaystyle \frac{dx}{dt} & = & -1.4x+0.5y , \cr & & \cr \displaystyle \frac{dy}{dt} & = & 2.5x-3.4y . \end{array}$$ For this system, the smaller eigenvalue is and the larger eigenvalue is .

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If $y' = Ay$ is a differential equation, how would the solution curves behave?
All of the solutions curves would converge towards 0. (Stable node)
All of the solution curves would run away from 0. (Unstable node)
The solution curves would race towards zero and then veer away towards infinity. (Saddle)
The solution curves converge to different points.

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The solution to the above differential equation with initial values $x(0) = 8, \,\, y(0) = 9$ is
$x(t) =$ ,
$y(t) =$ .