Consider a spring device whose equation is given by$$my""+\mu y"+ky=0$$ and also let $D=\mu^2-4mk$. Now there are three cases and I to be considering the cases that $D=0$ and $D>0$:

When $D=0$, the solution is that the kind $y=(a+bt)e^rt$. (Critically damped)When $D>0$, the systems is of the form $y=c_1e^r_1t+c_2e^r_2t$. (Overdamped)

While I understand that this two instances are very different and also the role $y=(a+bt)e^rt$ is very different native the role $y=c_1e^r_1t+c_2e^r_2t$, it likewise seems come me that the two features have very comparable graphs (in particular, very comparable end behaviours).

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