I'm looking for functions that satisfy:

(k being a constant)

So far I am aware that works, but are there any other functional forms out there that would also work?

Thanks

Results 1 to 10 of 10

- Jan 9th 2011, 11:19 AM #1

- Joined
- Sep 2009
- Posts
- 242
- Thanks
- 1

- Jan 9th 2011, 11:27 AM #2

- Joined
- Oct 2009
- Posts
- 769

- Jan 9th 2011, 01:43 PM #3

- Joined
- Sep 2009
- Posts
- 242
- Thanks
- 1

- Jan 9th 2011, 01:48 PM #4

- Jan 9th 2011, 02:47 PM #5

- Joined
- Apr 2005
- Posts
- 18,861
- Thanks
- 2707

NO, no, no! That's not what "separating" means. You cannot treat the "y" on the right as if it were a constant while integrating dy on the left.

Instead you need to actually**separate**x and y.

Now, integrate both sides to get and take the exponential of both sides: where .

This yields the following relationship:

Which is tantalizingly close to the proportion I was looking for, but not quite.

I don't mind the "c" being in there, but is there some way to get the y to not be squared?

- Jan 13th 2011, 10:12 AM #6

- Joined
- Sep 2009
- Posts
- 242
- Thanks
- 1

- Jan 13th 2011, 10:51 AM #7

- Joined
- Apr 2005
- Posts
- 18,861
- Thanks
- 2707

- Jan 25th 2011, 05:20 PM #8

- Joined
- Sep 2009
- Posts
- 242
- Thanks
- 1

- Jan 25th 2011, 06:53 PM #9

- Jan 27th 2011, 09:09 AM #10

- Joined
- Sep 2009
- Posts
- 242
- Thanks
- 1