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General Solution to an Inhomogeneous Equation

  1. Jul 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the general solution to:
    yii +y=sec2(t)



    3. The attempt at a solution

    I found the particular solution, which is

    Yp=-sec(t)cos(t)+ln|sec(t)+tan(t)|sin(t)

    Is the general solution just y(t)=C1cos(t)+C2sin(t)+Yp?
    I just can't find an example of an inhomogeneous problem with complex numbers to verify this.
     
  2. jcsd
  3. Jul 18, 2012 #2

    LCKurtz

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    Yes, that's it.
     
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