Differential Eqations

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April 21st 2006, 08:42 PM
askmemath

1 Attachment(s)

2 Differential Eqations and 1 Integral

Hello,

On ticbol's advice. splitting them up :D Need some help please

Thank you
April 22nd 2006, 12:38 AM
CaptainBlack

Quote:

Originally Posted by askmemath

Hello,

On ticbol's advice. splitting them up :D Need some help please

Thank you

These are all variables seperable type, and are solved by rearranging into
the form:

$ f(y) \frac{dy}{dx}=g(x) $ ,

Then the solution is:

$ \int f(y)\ dy=\int g(x)\ dx $

For example the first ODE is:

$ (x^2-x-2)\frac{dy}{dx}-y=0 $ ,

which may be rewritten:

$ \frac{1}{y}\ \frac{dy}{dx}=\frac{1}{x^2-x-2} $

so the solution is:

$ \int \frac{1}{y}\ dy=\int \frac{1}{x^2-x-2}\ dx $

RonL
April 23rd 2006, 04:02 AM
ngidi sbonakaliso raymond

confused

:confused: I don't understand would you please send me more information on that. :confused:
April 23rd 2006, 06:38 AM
ThePerfectHacker

Quote:

Originally Posted by ngidi sbonakaliso raymond

:confused: I don't understand would you please send me more information on that. :confused:

Firstly do you know what a differencial equation is?
Secondly what a 'seperable differencial equation' is?
April 23rd 2006, 07:45 AM
CaptainBlack

Quote:

Originally Posted by ngidi sbonakaliso raymond

:confused: I don't understand would you please send me more information on that. :confused:

What is it you don't understand:

1.What a variables seperable differential equation is

2.How the example is rearranged into standard form

3.How to do the integrals?

RonL
April 23rd 2006, 07:45 AM
CaptainBlack

Quote:

Originally Posted by ThePerfectHacker

Firstly do you know what a differencial equation is?
Secondly what a 'seperable differencial equation' is?

or how to spell differential :D

RonL
April 23rd 2006, 08:57 AM
ThePerfectHacker

Differencial is one of those words you always forget how to spell.
April 23rd 2006, 01:31 PM
topsquark

Quote:

Originally Posted by ThePerfectHacker

Differencial is one of those words you always forget how to spell.

Kinda like "Popocateptl?" (It's an, or rather I should say "He's an," Aztec mountain god with the same name as a volcano. I had to do a verbal report on it in Spanish. Do you realize how long I had to practice saying it before it would trip off my tongue?? :()

Of course, I can't even spell "center" correctly ever since I've been loggin on to these forums. Everybody wants to spell it "centre." (sighs and shakes his head in despair)

-Dan