form equation takes at large value of time
- From: "paul" <pjoseph@xxxxxxxxx>
- Date: 30 May 2005 05:12:00 -0700
Hi,
I have a question re. whether anything can be said about this
equation's behaviour at large values of time, purely by inspection.
The differential eqation is this:
y'' +Cy' + A*exp(-Bt)y = 0
where A, B, C are constants, y is say displacement and t is time.
My question is this:
At time t = infinity, is it correct to say that the system represented
by this equation can be described by:
y'' + Cy' = 0
Based on the physical fact that it means that the "spring" has one to
zero, I suspect the answer is yes, but would like to confirm.
thanks!
Paul
.
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