Results 1 to 2 of 2

Math Help - u_{xx}-u_{y}+\gamma u=f(x,y)

  1. #1
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5

    u_{xx}-u_{y}+\gamma u=f(x,y)

    Show that the equation

    u_{xx}-u_{y}+\gamma u=f(x,y),

    where \gamma is any constant, can be transformed into

    \omega_{xx}-\omega_y=\varphi(x,y)

    My book has yet to discuss inhomogeneous equations. How do I tackle this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,325
    Thanks
    10
    Try a substitution of the form

    u(x,y) = e^{ky}\omega(x,y)

    and see if tou can choose k to eliminate the \gamma u term.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Gamma
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: March 27th 2011, 07:01 PM
  2. Gamma - Gamma parameter estimation EM algorithm
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: July 24th 2010, 09:53 AM
  3. gamma
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: August 15th 2009, 05:02 PM
  4. gamma and e^(-x^2)
    Posted in the Calculus Forum
    Replies: 10
    Last Post: January 2nd 2009, 11:22 AM
  5. Replies: 0
    Last Post: March 30th 2008, 12:44 PM

/mathhelpforum @mathhelpforum