1. ## 2 Differential Eqations and 1 Integral

Hello,

Thank you

Hello,

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

3. ## confused

4. Originally Posted by ngidi sbonakaliso raymond
Firstly do you know what a differencial equation is?
Secondly what a 'seperable differencial equation' is?

5. 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

6. 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

RonL

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

8. 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