1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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


    User Avatar
    Science Advisor
    Homework Helper

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

  6. Apr 22, 2005 #5


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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 :


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




    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....
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Partial differential equation