Originally Posted by

**Kaitosan** (1.) Ok, this problem is really weird... I must be really missing something simple or something.

Integrate {1/2y dy

I'll show you two possible methods to antidifferentiate it.

Take the constant out = (1/2){1/y dy

(1/2)ln(abs(y))

But if you let the constant remains...

{1/2y dy = (1/2)ln(abs(2y))

There you have it, completely different solutions. But maybe "c" is responsible for this? Hmm.

(2.) Find the sum of the following series -

-3/(2^2) + 6/(2^5) - 9/(2^8).....

I know about the geometric addition but I honestly don't know how to solve this one...

(3.) My last question is regarding logistic differential equations. If we want to find a shortcut of the numerical value of a logistic equation as it goes to infinity, we take shortcuts by spotting the value of n in differential equations like dp/dt = kp(1-p/n) and dp/dt = (k/n)p(n-p). Here's my question, what would lim f'(t) (t to infinity) be? Is it the same as n or what?