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## Homework Statement

Classify the fixed points of the following linear system and state whether they are stable or unstable

[tex]\dot{x}=x + y [/tex]

[tex]\dot{y} = x + 3y [/tex]

## Homework Equations

## The Attempt at a Solution

Fixed point at dy/dx = 0/0. Therefore fixed point = (0,0)

How does one test for stability?

Thanks