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[H] Math

Blogs > anImaru
Post a Reply
anImaru
Profile Blog Joined June 2008
United States106 Posts
Last Edited: 2008-09-22 22:37:53
September 22 2008 04:40 GMT
#1
Need help with a differential equations problem. Some pointers on how to approach the problem would be nice.
[image loading]


Well I can find the differential equation for x0(t) and solve it easily enough. However, doing it for an arbitrary subsequent tank, let's say xn(t) is where I am stuck. Cant seem to be able to solve for xn(t) without having x(n-1)(t) in there...

Edit: Got the solution. Thanks to everyone who gave some meaningful input.

conCentrate9
Profile Blog Joined December 2007
United States438 Posts
September 22 2008 04:47 GMT
#2
...
Grobyc
Profile Blog Joined June 2008
Canada18410 Posts
Last Edited: 2008-09-22 04:55:11
September 22 2008 04:53 GMT
#3
On September 22 2008 13:47 conCentrate9 wrote:
...


EDIT: seriously though, why do so many people come to TL for homework help. if you don't understand the work ask get help from your professor/teacher at school. thats what they are getting paid for..
If you watch Godzilla backwards it's about a benevolent lizard who helps rebuild a city and then moonwalks into the ocean.
micronesia
Profile Blog Joined July 2006
United States24641 Posts
September 22 2008 04:57 GMT
#4
It's wrong to post your problem and provide nothing else. Either explain what you already understand, and the work you have so far, or don't ask us for help.

BTW the topic here is modeling, which you neglected to even mention. At least you told us that it's diffeqs!
ModeratorThere are animal crackers for people and there are people crackers for animals.
fight_or_flight
Profile Blog Joined June 2007
United States3988 Posts
September 22 2008 05:09 GMT
#5
I guess you should try to find an equation for the concentration of liquid B in the first tank as a function of time. Once you have that, I think you can use your previous result for each successive tank.
Do you really want chat rooms?
anImaru
Profile Blog Joined June 2008
United States106 Posts
Last Edited: 2008-09-22 05:20:07
September 22 2008 05:17 GMT
#6
Edited op with what I have so far.
economist_
Profile Blog Joined April 2008
Vietnam719 Posts
September 22 2008 06:38 GMT
#7
On September 22 2008 13:53 Grobyc wrote:
Show nested quote +
On September 22 2008 13:47 conCentrate9 wrote:
...


EDIT: seriously though, why do so many people come to TL for homework help. if you don't understand the work ask get help from your professor/teacher at school. thats what they are getting paid for..


Some of them are damn like piece of cake. Probably they want from us the superb outstanding solution that would surprise their teachers/professors
Economics forecast assumes everything, except responsibilities
Cascade
Profile Blog Joined March 2006
Australia5405 Posts
September 22 2008 18:01 GMT
#8
On September 22 2008 14:09 fight_or_flight wrote:
I guess you should try to find an equation for the concentration of liquid B in the first tank as a function of time. Once you have that, I think you can use your previous result for each successive tank.


This is the easiest aproach and works in principle. not sure how complicated the calculations gets as you go on.

Otherwise it seems like the kind of problem that you should solve as simultaneous differential equations. That is, you put up your system of linear differential equations, and then you use the machinery with matrices where you find eigenvectors, eignevalues etc and then exponentiate to find solution. If your course doesnt cover that, i reccomend the first solution.
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