Given the IVP

1.) Find sol'n of the IVP in terms of

2.) Find such that as the sol'n approached zero.

Results 1 to 3 of 3

- Nov 30th 2007, 11:54 AM #1

- Joined
- Sep 2007
- Posts
- 36

- Nov 30th 2007, 03:10 PM #2
First, we find the auxiliary equation by the quadratic.

This gives us:

Now, by using y(0)=2, we can find C1:

But

Then using the other IC, we can find C2:

Then

Therefore, the IVP in terms of a is:

Now, find the limit for the last portion of the problem. It should be kind of easy to see what a is now.

What is the limit on the right when x is unbounded?. What will give 0?

- Dec 2nd 2007, 10:06 PM #3

- Joined
- Sep 2007
- Posts
- 36