# Checking whether my Diff EQ limit problem is correct

1. ### lilmul123

40
figured it out, thanks

Figured it out, thanks.

Last edited: Apr 2, 2010
2. ### AEM

362

I think you wrote the wrong thing. Don't you want to take the limit as t goes to infinity?

3. ### LCKurtz

8,345
No, your logic isn't sound, assuming your solution for x is correct. Presuming the equilibrium position is x = 0 the question is asking whether that happens for t > 0.

4. ### LCKurtz

8,345
It isn't asking you about the limit as t goes to infinity. It is asking whether there are any finite values of t where x hits the equilibrium position.

5. ### LCKurtz

8,345
Stop with the infinitely large bit. The question has nothing to do with infinity. The question is whether x = 0 for any value of t. It isn't a rocket science question. Look at your equation.

6. ### LCKurtz

8,345
You're welcome. The point of questions like that is that it depends on the damping. If the system is damped strongly enough it might just ooze down towards equilibrium. Otherwise it might do as in this problem, cross equilibrium once and settle towards equilibrium. Or if it is underdamped, it might oscillate around equilibrium as it settles.