Let be continously differenciable on . Solve the integral equation:

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- May 28th 2007, 12:04 PMThePerfectHackerProblem 24
Let be continously differenciable on . Solve the integral equation:

- May 28th 2007, 01:22 PMCaptainBlack
- May 28th 2007, 01:25 PMjanvdl
So whats the answer CaptainBlack? :D

- May 28th 2007, 01:37 PMCaptainBlack
- May 28th 2007, 01:40 PMecMathGeek
- May 28th 2007, 03:41 PMecMathGeek
Is there a way to apply color and font to LaTeX? I want to try to white-out my solution, but as far as I can tell that's impossible.

- May 30th 2007, 06:58 AMtopsquark
- May 30th 2007, 11:49 AMJhevon
- May 30th 2007, 11:51 AMCaptainBlack
- May 30th 2007, 06:29 PMtopsquark
Okay, I oopsied. But still:

Thus

Thus

And

So

How can this then be the solution of the integral equation? I'm missing something here...

-Dan - May 30th 2007, 08:18 PMCaptainBlack
- May 30th 2007, 09:04 PMCaptainBlack
- May 30th 2007, 11:19 PMJakeD
- May 31st 2007, 12:38 AMCaptainBlack
The integral equation when converted to a diffrential equation is in fact

an initial value problem as of necessity

ecMathGeek gave a general solution to the DE that you get by differentiating

the integral equation but omitted the initial condition that forces .

RonL - May 31st 2007, 05:11 AMThePerfectHacker