why does e^2x = 1/2 e^2x
does e^-x = -e^-x or -1/e^-x ?
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Originally Posted by jeph why does e^2x = 1/2 e^2x
does e^-x = -e^-x or -1/e^-x ? First, DOES NOT EQUAL
We need to find,
Use the substitution
Similarly with the other one.
i dont get how the 1/2 gets there...
Originally Posted by jeph i dont get how the 1/2 gets there... Because if then so we need to introduce a factor of two into that expression. Thus, I simply multiply it in and divide it out.
where is an arbitrary constant.
Originally Posted by Krizalid
where is an arbitrary constant. And
Originally Posted by ThePerfectHacker And but of course
Last edited by Jhevon; May 30th 2007 at 02:54 PM.
Yeah, that's what I said "arbitrary"
Originally Posted by Krizalid Yeah, that's what I said "arbitrary"
(common sense) i guess, but mathematicians don't take anything for granted, and therefore, they are in the habit of rigorously defining common sense things.
for instance, to define a rational number, a mathematician would say:
a rational number is one that can be expressed as
even though the is the "common sense" part
Ahahahaha, got it!!
You're right, we gotta be stricts.
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