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Math Help - Differential Eqations

  1. #1
    Junior Member
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    2 Differential Eqations and 1 Integral

    Hello,

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

    Thank you
    Attached Thumbnails Attached Thumbnails Differential Eqations-wire.jpg  
    Last edited by CaptainBlack; April 22nd 2006 at 12:28 AM. Reason: Upload the image files with the problems
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by askmemath
    Hello,

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

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

    <br />
f(y) \frac{dy}{dx}=g(x)<br />
,

    Then the solution is:

    <br />
\int f(y)\ dy=\int g(x)\ dx<br />

    For example the first ODE is:

    <br />
(x^2-x-2)\frac{dy}{dx}-y=0<br />
,

    which may be rewritten:

    <br />
\frac{1}{y}\ \frac{dy}{dx}=\frac{1}{x^2-x-2}<br />

    so the solution is:

    <br />
\int \frac{1}{y}\ dy=\int \frac{1}{x^2-x-2}\ dx<br />

    RonL
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  3. #3
    ngidi sbonakaliso raymond
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    Question confused

    I don't understand would you please send me more information on that.
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  4. #4
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    Quote Originally Posted by ngidi sbonakaliso raymond
    I don't understand would you please send me more information on that.
    Firstly do you know what a differencial equation is?
    Secondly what a 'seperable differencial equation' is?
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  5. #5
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    Quote Originally Posted by ngidi sbonakaliso raymond
    I don't understand would you please send me more information on that.
    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
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  6. #6
    Grand Panjandrum
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    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

    RonL
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  7. #7
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    Differencial is one of those words you always forget how to spell.
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  8. #8
    Forum Admin topsquark's Avatar
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    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
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