Results 1 to 3 of 3

Math Help - Quick Simple homogenous equation help

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    27

    Quick Simple homogenous equation help

    If i have the function:

    \frac{d^2u}{dx^2} + 4u = f(x)

    What would the homogenous equation be?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Quote Originally Posted by signature View Post
    If i have the function:

    \frac{d^2u}{dx^2} + 4u = f(x)

    What would the homogenous equation be?

    \frac{d^2u}{dx^2} + 4u = 0
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    so U(x)=a\sin(2x)+b\cos(2x) for all a,b.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. homogenous equation
    Posted in the Differential Equations Forum
    Replies: 12
    Last Post: February 22nd 2011, 03:06 AM
  2. Homogenous Differntial Equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 14th 2011, 11:33 AM
  3. Homogenous Equation Help
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: September 27th 2009, 12:39 PM
  4. homogenous differential equation help
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: May 31st 2009, 05:13 PM
  5. linear homogenous equation, simple question.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 25th 2009, 08:08 PM

Search Tags


/mathhelpforum @mathhelpforum