Let be continously differenciable on . Solve the integral equation:

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- May 28th 2007, 01:04 PMThePerfectHackerProblem 24
Let be continously differenciable on . Solve the integral equation:

- May 28th 2007, 02:22 PMCaptainBlack
- May 28th 2007, 02:25 PMjanvdl
So whats the answer CaptainBlack? :D

- May 28th 2007, 02:37 PMCaptainBlack
- May 28th 2007, 02:40 PMecMathGeek
- May 28th 2007, 04:41 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, 07:58 AMtopsquark
- May 30th 2007, 12:49 PMJhevon
- May 30th 2007, 12:51 PMCaptainBlack
- May 30th 2007, 07:29 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, 09:18 PMCaptainBlack
- May 30th 2007, 10:04 PMCaptainBlack
- May 31st 2007, 12:19 AMJakeD
- May 31st 2007, 01:38 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, 06:11 AMThePerfectHacker