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Math Help - Inverse Laplace Transform.

  1. #1
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    Inverse Laplace Transform.

    I'm trying to help this friend of mine over the internet on diff. equations. I understand the subject rather well but I'm stumped on this Inverse Laplace Transform.

    What's the inverse laplace transform of -2s^2 ? I can't seem to find it on any table of laplace transform.

    Here's the problem with my work.


    Use the Laplace transform to solve




    Work (that i'm explaining to him):







    From the property 30 here.

    Pauls Online Notes : Differential Equations - Table Of Laplace Transforms



    Going back to the problem.




    y(0) = 0





    It is the form : (Linear).

    Use the integrating factor method.



    The solution is the form:



    Take the inverse transform.

    This is where I'm stuck... I need to take the inverse Laplace transform of:

    , Where C is a constant.

    After finding y(t) , I'll be able to find the constant...

    Thanks.
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  2. #2
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    Quote Originally Posted by illusion419 View Post
    I'm trying to help this friend of mine over the internet on diff. equations. I understand the subject rather well but I'm stumped on this Inverse Laplace Transform.

    What's the inverse laplace transform of -2s^2 ? I can't seem to find it on any table of laplace transform.

    Here's the problem with my work.


    Use the Laplace transform to solve




    Work (that i'm explaining to him):







    From the property 30 here.

    Pauls Online Notes : Differential Equations - Table Of Laplace Transforms



    Going back to the problem.




    y(0) = 0


    Mr F says: The mistake is in this line. The coefficient of Y' is -s^2 ....



    It is the form : (Linear).

    Use the integrating factor method.



    The solution is the form:



    Take the inverse transform.

    This is where I'm stuck... I need to take the inverse Laplace transform of:

    , Where C is a constant.

    After finding y(t) , I'll be able to find the constant...

    Thanks.
    ..
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  3. #3
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    Thanks! Silly mistake lol
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