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