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Find a particular solution for a non-homogeneous differential equation

  1. May 3, 2013 #1
    Find a particular solution for the following equation:


    I'm not sure on which method to use. Here's my attempt using the undetermined coefficients method:

    r=-1 *not even sure if this part is useful




    This is where I get stuck; I don't believe I'm taking the right approach from the get-go. Any help would be greatly appreciated.
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. May 3, 2013 #2


    Staff: Mentor

    It's very useful, as it gives you the complementary solution, the solution to the homogeneous problem. Note that r = -1 is a repeated solution of the characteristic equation.
    Not a good choice for a particular solution. e-t is a solution of the homogeneous problem, so can't possibly be a solution of the nonhomogeneous problem.
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