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Homework Help: Find the general solution for a nonhomogenous equation.

  1. Jun 26, 2011 #1
    1. The problem statement, all variables and given/known data
    Find the general solution for a nonhomogenous equation.

    2. Relevant equations

    3. The attempt at a solution
    I simplified the equation to...

    Then I guessed...

    Then I got...

    Simplifies to...

    NOTE: Trig Identity: sin(2t)=2sintcost

    I am stuck and I am not even sure if I took the correct steps.
    Last edited: Jun 26, 2011
  2. jcsd
  3. Jun 26, 2011 #2


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    Variations of parameters.
  4. Jun 26, 2011 #3
    Thanks for your help! I have been trying to figure out Variation of Parameters and I can't seem to find it on Khan Academy. Any chance there are any videos or resources you can suggest?
  5. Jun 26, 2011 #4


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    http://en.wikipedia.org/wiki/Variation_of_parameters" [Broken] is always a good place as sometimes they'll give an example...like in what I posted.
    Last edited by a moderator: May 5, 2017
  6. Jun 26, 2011 #5
  7. Jun 26, 2011 #6
    Thanks for everyone's help! I got a solution, although it kinda looks weird, but it makes sense to me now! :)
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