$1$, for $\dot{x} = f(x) = 1 - x$

Example · High school

Terms

Term	This example	Why
equilibrium	✓	$1$ is an equilibrium of $\dot{x} = 1 - x$, because $f(1) = 0$.
steady state	✓	$1$ is the steady state of $\dot{x} = 1 - x$, because every solution settles there.
fixed point	✗	$1$ is not a fixed point of $f$, because $f(1) = 0 \neq 1$.

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