# Differential Eqations

• Apr 21st 2006, 08:42 PM
2 Differential Eqations and 1 Integral
Hello,

Thank you
• Apr 22nd 2006, 12:38 AM
CaptainBlack
Quote:

Hello,

Thank you

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

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

Then the solution is:

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

For example the first ODE is:

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

which may be rewritten:

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

so the solution is:

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

RonL
• Apr 23rd 2006, 04:02 AM
ngidi sbonakaliso raymond
confused
• Apr 23rd 2006, 06:38 AM
ThePerfectHacker
Quote:

Originally Posted by ngidi sbonakaliso raymond

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

Originally Posted by ngidi sbonakaliso raymond

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
• Apr 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
• Apr 23rd 2006, 08:57 AM
ThePerfectHacker
Differencial is one of those words you always forget how to spell.
• Apr 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