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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- January 9th 2011, 12:19 PM #1

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- January 9th 2011, 12:27 PM #2

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- January 9th 2011, 02:43 PM #3

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- January 9th 2011, 02:48 PM #4

- January 9th 2011, 03:47 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?

- January 13th 2011, 11:12 AM #6

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- January 13th 2011, 11:51 AM #7

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- January 25th 2011, 06:20 PM #8

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- January 25th 2011, 07:53 PM #9

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

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