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Partial differential equation

  1. Apr 19, 2005 #1
    form the differential equation for the follwing equation
    (x^2)/a^2 +(y^2)/b^2+(Z^2)/c^2 =1
     
  2. jcsd
  3. Apr 21, 2005 #2
    Just to keep us busy or what?

    Show us your work!!!
     
  4. Apr 22, 2005 #3

    cepheid

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    I read that as:

    Form the differential equation for the following equation:

    [tex] \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 [/tex]

    I don't get it...how do you get a PDE out of that?
     
  5. Apr 22, 2005 #4

    dextercioby

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    No,find the PDE whose solution is the ellipsoid's implicit equation...

    Daniel.
     
  6. Apr 22, 2005 #5

    cepheid

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    I see, ok. That wasn't really clear before.
     
  7. May 2, 2005 #6
    I mean u get a First order or second order partial differential equation
     
  8. May 2, 2005 #7
    Well for this last question : suppose you have a 1st order PDE, then just derive again and you get a 2nd order one...

    The question is a bit ambigous...let's take a simpler exemple, nonparametric :

    y(x)=x^2

    Then there are an infinity of differential equation having that solution :

    y'=2Sqrt(y)

    y''=y'/Sqrt(y)

    aso....

    Moreover I don't know if you want the parametric equation or the explicit version...(ie. x=x(theta,phi) or x=x(y,z)...)

    Just plug in this in your equation and differentiate....
     
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