Login

Search the forums now!

Welcome, Guest. Please login or register.

September 27, 2025, 11:17:34 am
Pages: 1 ... 33 34 [35] 36 37 ... 41   Go Down

Author Topic: TrueTears question thread  (Read 66450 times)  Share 

0 Members and 1 Guest are viewing this topic.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #510 on: August 13, 2009, 11:08:48 pm »
0
Hi can someone check my working for solving for the general solution for the following system of differential equation:

Did I get the right answer?

[I just started learning this so that's I want to check because this has no answers]



« Last Edit: August 13, 2009, 11:11:12 pm by TrueTears »
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

Mao

  • CH41RMN
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 9181
  • Respect: +390
  • School: Kambrya College
  • School Grad Year: 2008
Re: TrueTears question thread
« Reply #511 on: August 13, 2009, 11:19:00 pm »
0
hey man, can you maybe use a smaller picture next time...? It's so big I can't be bothered scrolling across to read it...
Use Microsoft picture manager or something to resize to 600pixels wide or something.

as for the second post, you can check whether it is right by substituting back into the original differential equations.
Logged
Editor for ATARNotes Chemistry study guides.

VCE 2008 | Monash BSc (Chem., Appl. Math.) 2009-2011 | UoM BScHon (Chem.) 2012 | UoM PhD (Chem.) 2013-2015

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #512 on: August 13, 2009, 11:21:13 pm »
0
lol sorry im a noob at computers :(
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #513 on: August 14, 2009, 12:20:43 am »
0
Ok last question.



Here is my working so far. But I am just stuck on part i). How do you go about it?



Thanks!!!
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

kamil9876

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1943
  • Respect: +109
Re: TrueTears question thread
« Reply #514 on: August 14, 2009, 12:31:46 pm »
0
if then by looking at the differential equations given, we see that the value of y decreases a lot, but as the value of y becomes small then the rate of decrease of x becomes small, hence y decreases a lot more than x So x dominates.

a and b can play a similair role to x_0 and y_0. If then this helps x too as can be seen by analysing the differential equations in  a similair fashion.
Logged
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

aa53558

  • Victorian
  • Fresh Poster
  • *
  • Posts: 1
  • Respect: 0
Re: TrueTears question thread
« Reply #515 on: August 14, 2009, 12:59:21 pm »
0
hey what the hell, this is a application SAC, I've seen people working on it at school, don't post it online!!
Logged

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #516 on: August 14, 2009, 01:10:29 pm »
0
Am I breaking the rules or anything? I am clearly learning, idiot.
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

zzdfa

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 328
  • Respect: +4
Re: TrueTears question thread
« Reply #517 on: August 14, 2009, 01:35:29 pm »
0
Quote from: Mao on August 13, 2009, 11:19:00 pm
hey man, can you maybe use a smaller picture next time...? It's so big I can't be bothered scrolling across to read it...
Use Microsoft picture manager or something to resize to 600pixels wide or something.

ctrl+scrolldown will make it small enough to read
and ctrl+0 will restore stuff back to normal size
Logged

kamil9876

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1943
  • Respect: +109
Re: TrueTears question thread
« Reply #518 on: August 14, 2009, 05:05:49 pm »
0
Quote from: aa53558 on August 14, 2009, 12:59:21 pm
hey what the hell, this is a application SAC, I've seen people working on it at school, don't post it online!!

Looks like, contrary to popular belief, TrueEars has found a friend.
Logged
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #519 on: August 14, 2009, 05:11:37 pm »
0
It probs is TrueEars.
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

kat148

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 441
  • Respect: +16
Re: TrueTears question thread
« Reply #520 on: August 14, 2009, 08:09:10 pm »
0
You mean FakeEars ???
Logged

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #521 on: August 15, 2009, 01:39:00 pm »
0
So how do we find out whether x dominates?
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #522 on: August 15, 2009, 08:26:00 pm »
0
Quote from: kamil9876 on August 14, 2009, 12:31:46 pm
if then by looking at the differential equations given, we see that the value of y decreases a lot, but as the value of y becomes small then the rate of decrease of x becomes small, hence y decreases a lot more than x So x dominates.

a and b can play a similair role to x_0 and y_0. If then this helps x too as can be seen by analysing the differential equations in  a similair fashion.
Ok then looking at the equation

Because the questions tells us to examine some values, I found out if you have it doesn't work...

Say you got a = 2 b = 3 and and and x = 6000 [Clearly here ]

Then the equation becomes which is not solvable with regards to this question.

Now if we increase to say 9000 then the equation becomes which is solvable but here clearly

?????
?
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

kamil9876

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1943
  • Respect: +109
Re: TrueTears question thread
« Reply #523 on: August 15, 2009, 08:45:26 pm »
0
Quote
and y_0 = 1000 and x_0 = 7000 and x = 6000 [Clearly here x_0 >> y_0]

Not clear to me.
Logged
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: TrueTears question thread
« Reply #524 on: August 16, 2009, 03:15:46 pm »
0
What you mean not clear?
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.
Pages: 1 ... 33 34 [35] 36 37 ... 41   Go Up