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Differential Equation help

  1. Jun 19, 2007 #1
    1. The problem statement, all variables and given/known data

    Solve : y'' -y = cosh(x)


    2. Relevant equations



    3. The attempt at a solution

    the attempt is attached.

    The answer in the back of the book agree with part of mine. However, the circled part - the part with 1/8 as a coefficient on e^x terms. It's circled on the bottom.

    Either the back of the book is wrong (and I'm correct) or this term should cancel and I've missed something.
    Help?

    Thanks
    -Sparky_
     

    Attached Files:

  2. jcsd
  3. Jun 19, 2007 #2

    Dick

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    Science Advisor
    Homework Helper

    The circled term is a solution to the homogeneous equation y''-y=0. It can be absorbed into the c1*exp(x)+c2*exp(-x).
     
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