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Yay differential equations...

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WGP guy2 View Drop Down
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    Posted: 26 January 2009 at 11:10pm
I've been working on this problem for the past 3 hours and have 7 pages of work, but still no solution.  Anyone good with diff eq?

(x^2)(dy/dx) = y^2 + xy
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Post Options Post Options   Thanks (0) Thanks(0)   Quote choopie911 Quote  Post ReplyReply Direct Link To This Post Posted: 26 January 2009 at 11:31pm
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Rambino Quote  Post ReplyReply Direct Link To This Post Posted: 26 January 2009 at 11:33pm
Let me think...   The last time I did one of those was ...   oh yeah - a very long time ago.  You are a couple of decades too late for my help.  But it is a fun class.
 
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Post Options Post Options   Thanks (0) Thanks(0)   Quote High Voltage Quote  Post ReplyReply Direct Link To This Post Posted: 26 January 2009 at 11:43pm
Do your own homework.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Uncle Rudder Quote  Post ReplyReply Direct Link To This Post Posted: 26 January 2009 at 11:58pm
I cut bait on calculus right before Diff Eq.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote sinisterNorth Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:02am
Heh...if I ever took/had to take Calc, I'd try to help. But alas, the only math I have to take in college is statistics. And psychology statistics at that.

Good luck.
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WGP guy2 View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote WGP guy2 Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:20am
Meh... I just neatly went through every method my professor has taught and showed none of them works.  Hopefully that is good enough.
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¤ Råp¡Ð F¡rè ¤ View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote ¤ Råp¡Ð F¡rè ¤ Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:44am
Originally posted by WGP guy2 WGP guy2 wrote:


(x^2)(dy/dx) = y^2 + xy


(x^2)(dy/dx) = y^2 + xy
2x = 2ydy + xdy + y
2x - y = dy (2y + x)
dy = (2x - y) / (2y + x)

I think it's something like that.


Edited by ¤ Råp¡Ð F¡rè ¤ - 27 January 2009 at 12:53am
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Post Options Post Options   Thanks (0) Thanks(0)   Quote ThatGuitarGuy Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:55am
21 minutes to find a cartoon online explaining differential equations.

I really wonder if Choop had that one waiting to post, or if he had to search for it.
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¤ Råp¡Ð F¡rè ¤ View Drop Down
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This title is just way too old

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Post Options Post Options   Thanks (0) Thanks(0)   Quote ¤ Råp¡Ð F¡rè ¤ Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:58am
Originally posted by ThatGuitarGuy ThatGuitarGuy wrote:

21 minutes to find a cartoon online explaining differential equations.

I really wonder if Choop had that one waiting to post, or if he had to search for it.


Lol, it was on the Digg front page.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote WGP guy2 Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:14am
Originally posted by ¤ Råp¡Ð F¡rè ¤ ¤ Råp¡Ð F¡rè ¤ wrote:

Originally posted by WGP guy2 WGP guy2 wrote:


(x^2)(dy/dx) = y^2 + xy


(x^2)(dy/dx) = y^2 + xy
2x = 2ydy + xdy + y
2x - y = dy (2y + x)
dy = (2x - y) / (2y + x)

I think it's something like that.


Umm...what?

It looks like you just did some algebra and pseudo-calculus.

To solve it it needs to go in the from Mdx + Ndy = 0

So it would be:

(y^2 + xy) dx - (x^2) dy = 0

I'm trying to find y(x)  the y in the original function will be an equation, not a number.

That solution is not exact, and needs to be for me to use one of the techniques I've been taught so far.  There must be some integrating factor that makes it exact, however the techniques to find integrating factors I've been taught so far all fail.

I'm pretty sure it involves some substitution and special integrating factor, but I can't figure out what they are.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote ¤ Råp¡Ð F¡rè ¤ Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:32am
Oh, forget what I was talking about then. I thought you were trying to accomplish something completely different.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote High Voltage Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:38am
This forum is exactly what I think of when I desire assistance with my calculus homework.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote notXXscared Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:28pm
Originally posted by ¤ Råp¡Ð F¡rè ¤ ¤ Råp¡Ð F¡rè ¤ wrote:

I thought you were trying to accomplish something completely different.

Accomplish something completly different...as in the wrong answer?

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Post Options Post Options   Thanks (0) Thanks(0)   Quote Rambino Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:32pm
Originally posted by sinisterNorth sinisterNorth wrote:

And psychology statistics at that.
 
 
I hereby declare this class "not math."
 
(me = math snob)
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Linus Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:44pm
I suck at math and for some idiotic reason, decided to take an online math class this semester.

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Post Options Post Options   Thanks (0) Thanks(0)   Quote pntbl freak Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 12:55pm
If you would have posted this a few years ago...I could have helped.  I dont remember anything about them now.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Benjichang Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:12pm
We get it, you take Calc.

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Post Options Post Options   Thanks (0) Thanks(0)   Quote WGP guy2 Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:43pm
Originally posted by Benjichang Benjichang wrote:

We get it, you take Calc.


Diff eq =/ calc.  I'm past calc. 
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Rambino Quote  Post ReplyReply Direct Link To This Post Posted: 27 January 2009 at 1:44pm
Originally posted by WGP guy2 WGP guy2 wrote:

Originally posted by Benjichang Benjichang wrote:

We get it, you take Calc.


Diff eq =/ calc.  I'm past calc. 
 
I dunno.  I always figured DiffEq was like Calc 1.5.  I would definitely call it calculus, though.  But hey - semantics.
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