RadiationX
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The function y=0 is an equilibrium solution of the natural decay equation and the natural growth equation \frac{dy}{dt}=ky\\k>0.
An equilibrium solution is stable if solutions that begin sufficiently close to the equilibrium soltuion tend toward that equilibrium solution as t\rightarrow\infty
What does this mean?
An equilibrium solution is stable if solutions that begin sufficiently close to the equilibrium soltuion tend toward that equilibrium solution as t\rightarrow\infty
What does this mean?