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Old 17 May 2005, 12:13 PM
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suprabeast
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Default maths bods

need to solve a first order differential equation so that i can then draw an estimated response and i'm a bit stuck


dx/dt + 3x/2 + 1/2 = 0

where x(0) = 1/3

anyone good at control theory and laplace transforms??
Old 17 May 2005, 12:15 PM
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Big Daz
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Originally Posted by suprabeast
need to solve a first order differential equation so that i can then draw an estimated response and i'm a bit stuck


dx/dt + 3x/2 + 1/2 = 0

where x(0) = 1/3

anyone good at control theory and laplace transforms??

Oooo Control. Just did my degree exam on Friday for this, I will have a look if I havent forgotten it all already

Daz
Old 17 May 2005, 12:23 PM
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Spoon
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Originally Posted by suprabeast
need to solve a first order differential equation so that i can then draw an estimated response and i'm a bit stuck


dx/dt + 3x/2 + 1/2 = 0

where x(0) = 1/3

anyone good at control theory and laplace transforms??
That's well easy but as Big Daz was first to respond and needs the practice, obviously, I'll let him answer.

p.s Second order differential equations, now that's a different matter, well ard them.

I bet someone puts a link up and cheats.

Last edited by Spoon; 17 May 2005 at 12:48 PM.
Old 17 May 2005, 12:39 PM
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lightning101
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http://www.math.uiuc.edu/~dcmurphy/m...estfsolns.html
Old 17 May 2005, 01:18 PM
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well i gotta do the second order ones later which is scary!

i've got an answer that takes me as far as the s plane which is x' = (2s-3)/(2s^2+(3/s)).. but i dont think its right!!!

aaarrrgghhhh ! ! stress...
Old 17 May 2005, 01:25 PM
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Mick
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Good grief, - I remember the words from ~ 12 years ago - even passed an exam in it - but I haven't got a clue what you're on about now

How time flies

Good luck

Mick

Last edited by Mick; 17 May 2005 at 01:28 PM. Reason: typo...
Old 17 May 2005, 01:25 PM
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Darn double posted trying to correct a typo before the message went...

Mick
Old 17 May 2005, 01:38 PM
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I remember doing this in the dim and distant past... can't really remember Laplace and may be way off track but can you do it by separating the variables such that:

dx/dt = -3x/2 - 1/2

integral (1/(-3x/2 - 1/2)dx = integral(1)dt

Then integrate each side?
Old 17 May 2005, 02:09 PM
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Originally Posted by ajm
I remember doing this in the dim and distant past... can't really remember Laplace and may be way off track but can you do it by separating the variables such that:

dx/dt = -3x/2 - 1/2

integral (1/(-3x/2 - 1/2)dx = integral(1)dt

Then integrate each side?
thanks i'll try that, see if it gets me any further!!
Old 17 May 2005, 02:23 PM
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or you could do 6 + 6 take away 10 = x + 1

Old 17 May 2005, 03:00 PM
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Spoon
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Originally Posted by ajm
can't really remember Laplace
Same here, kids love going at Christmas time though
Old 17 May 2005, 04:12 PM
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I remember Linda Lovelace. Does that help?
Old 17 May 2005, 04:25 PM
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Have the Martians landed???? whats all this gobbledegook ????
Old 17 May 2005, 04:28 PM
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Originally Posted by Mick
Good grief, - I remember the words from ~ 12 years ago - even passed an exam in it - but I haven't got a clue what you're on about now
Ditto, wouldn't have a clue now as I haven't done that sort of stuff for 10 - 12 years.
Old 17 May 2005, 04:35 PM
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Spoon
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Originally Posted by Apparition
Have the Martians landed???? whats all this gobbledegook ????
Never takes much to confuse a female, hey Tel?
Old 17 May 2005, 04:40 PM
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Absolutely. Apparition, KNOW YOUR PLACE.




Old 17 May 2005, 04:58 PM
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ajm
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Originally Posted by suprabeast
thanks i'll try that, see if it gets me any further!!
It's all gone very quiet.... have you integrated it?..... or have you given up and gone out on the p!ss at the taxpayers' expense with the rest of your student brethren?
Old 17 May 2005, 08:35 PM
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Dave1980
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what is all that about?. seems pointless as unless you are going to become a science boff what the phook are you going to use it for?
Old 17 May 2005, 08:46 PM
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ajm
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Originally Posted by Dave1980
what is all that about?. seems pointless as unless you are going to become a science boff what the phook are you going to use it for?
Not much... just anything that requires an automatic control system!
Old 17 May 2005, 08:50 PM
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well fair enough, just seems a lot of the stuff that you learn at uni you never use. I am a construction engineer and spent years at uni training.
when you come out you hardly have to use any of the formulas or whatever as there are easier ways of doing it. obviously there are exceptions but surely it cant all be relevant.
Old 17 May 2005, 10:46 PM
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Originally Posted by ajm
It's all gone very quiet.... have you integrated it?..... or have you given up and gone out on the p!ss at the taxpayers' expense with the rest of your student brethren?

never got round to integrating it! and didnt even make it to the pub! Not that i can spend money at the tax payers expense either unfortunately! I work full time in an engineering firm who sponser me to go to uni, I asked when i started if they would be prepared to do it and they said yes so i figured why not!!!

So unfortunately, i pay just as much tax as the rest of you lot and get 1 day off a week! If you call 12 hours of lectures a day off!!!

Oh well, i will find the solution on thursday if i havent sussed it by then! thats my next day in!
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