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

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

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

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

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

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

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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

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

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

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

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

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