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Math Help - using the Laplace transform to solve...

  1. #1
    Senior Member
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    using the Laplace transform to solve...

    man these problems are long but here goes...

    ok i am not sure what im doing wrong but my partial fraction that I am getting is not giving me the right answer...one i have 7 terms and the book has 4 terms in its answer.

    2y'''+3y''-3y'-2y=e^{-t} y(0)=0, y'(0)=0 , y''(0)=1

    after making the substitutions i got:





    i was hoping someone could tell me where i went wrong....

    thanks
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  2. #2
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    sorry here is the problem...


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  3. #3
    A Plied Mathematician
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    Hmm. Here's what I get:



    You can use the Heaviside cover-up method to get the constants, and then fire away with the inverse. As you can see, there are only 4 terms.

    Does that help?
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  4. #4
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    ok i didnt get the 2s+3 let me go back and add that and finish working out the problem. thanks!
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  5. #5
    A Plied Mathematician
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    You're welcome, as always.
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