Results 1 to 2 of 2

Thread: Harmonic Functions

  1. May 26th 2009, 06:16 PM #1
    Link88
    Link88 is offline
    Member
    Joined
    Nov 2008
    Posts
    75

    Harmonic Functions

    show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.
    Follow Math Help Forum on Facebook and Google+
  2. May 26th 2009, 08:02 PM #2
    ThePerfectHacker
    ThePerfectHacker is offline
    Global Moderator ThePerfectHacker's Avatar
    Joined
    Nov 2005
    From
    New York City
    Posts
    10,603
    Quote Originally Posted by Link88 View Post
    show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.
    This is very easy if you use the definition of harmonic function. Just show f_xx + f_yy = 0.
    You need to compute all those partial derivatives.
    Follow Math Help Forum on Facebook and Google+
« acceleration, speed and distance second order differential equation | Help - Partial Derivatives of f(x,y) »

Similar Math Help Forum Discussions

  1. Harmonic Functions
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 7th 2011, 06:01 PM
  2. Harmonic Functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 24th 2010, 08:57 PM
  3. Harmonic functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 9th 2009, 08:35 PM
  4. harmonic functions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 7th 2008, 06:32 PM
  5. Pre-Cal Harmonic Functions
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 25th 2008, 08:02 AM

Search Tags


/mathhelpforum @mathhelpforum