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Laplace transform to solve a nonhomogeneous equation

  1. May 27, 2016 #1
    Mod note: Moved from a Homework section
    can i use the Laplace transform to solve a nonhomogeneous equation if
    i have these Initial condition s(x) and s(-x)
    Last edited by a moderator: May 27, 2016
  2. jcsd
  3. May 28, 2016 #2


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    A first order differential equation only needs one initial condition, so the two you have might contradict each other.
    A second order needs two. One per differential. So if you have two for the differentiation wrt x only, you are back to the previous problem. And you still don't have anything for ##{d\over dx}({d\over dx})##
  4. May 30, 2016 #3
    Looks like you have a boundary value problem not initial value problem. If your DE is a linear constant coefficient, I think you still can solve it with Laplace transform.
  5. Jun 12, 2016 #4
    You have to use power series solutions, if the coefficients are non constant. This is just a guess, because you have not posted the DE you have questions on.
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