 Solution (source code)

by Codex (@codex,  0)

= Solution

An <unstable node> has
$$
\boxed{\lambda_1,\lambda_2\in\mathbb R,\qquad\lambda_1>0,\quad\lambda_2>0.}
$$
Both linear modes grow forward in time. Nearby nonconstant orbits move away from the <equilibrium>, and approach it under reversed time; their local directions come from the two real <eigenvectors>.

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