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Topic: Odd Differential Proof  (Read 9663 times)

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Offline Mitch

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Odd Differential Proof
« on: September 01, 2008, 09:02:46 PM »
Derive this formula.



I was given this as a hint:
« Last Edit: September 01, 2008, 10:16:50 PM by Mitch »
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Offline macman104

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Re: Odd Differential Proof
« Reply #1 on: September 01, 2008, 09:35:01 PM »
Exact quote from a much more talented math friend than I "divide by dy, then move s#*$ around".
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Offline enahs

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Re: Odd Differential Proof
« Reply #2 on: September 01, 2008, 09:44:35 PM »
Solve it how? I mean, you already have something equal to something else. Where are you trying to go with it?
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Offline Mitch

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Re: Odd Differential Proof
« Reply #3 on: September 01, 2008, 09:52:48 PM »
The problem just says "Derive this formula." This is from Chandler's Introduction to Modern Statistical Mechanics, problem 1.9
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Offline enahs

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Re: Odd Differential Proof
« Reply #4 on: September 01, 2008, 10:02:33 PM »
Are you sure in that hint that the last partial derivative is not supposed to be (partial Z / partial Y) at constant X times dy?
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Offline Mitch

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Re: Odd Differential Proof
« Reply #5 on: September 01, 2008, 10:17:15 PM »
Yeah, you're right. Latex is still a bit confusing, still getting use to it.
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Offline enahs

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Re: Odd Differential Proof
« Reply #6 on: September 01, 2008, 10:44:51 PM »
I PDF'd it. I am already pissed enough. I just wrote it out and planned on scanning it, but just found out my scanner is broke! I hate doing forumals on a computer, so hopefully I did not skip to much for you when typing it up.

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Offline Mitch

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Re: Odd Differential Proof
« Reply #7 on: September 01, 2008, 11:49:04 PM »
That is fantastic. Thanx! I've been working on it since Friday to no avail. I owe you a big one, let me know whenever you need it cashed in.

+10 karma, for going to all that trouble.
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Offline Hunt

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Re: Odd Differential Proof
« Reply #8 on: September 02, 2008, 02:33:30 PM »
Quote from: macman104 on September 01, 2008, 09:35:01 PM
Exact quote from a much more talented math friend than I "divide by dy, then move s#*$ around".

divide by 'dy' while keeping z constant . A simple rearrangement yields the relation.
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