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Math Help - Help with a couple differential equation problems.(mostly laplace transforms)

  1. #1
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    Help with a couple differential equation problems.(mostly laplace transforms)

    Please and thank you.

    Solve by undetermined coefficients
    y'' + 3y = -48x2 * e3x

    Find a linear operator that annihilates the given function, and verify
    3 + ex * cos2x


    Inverse Laplace transforms of
    (s + 1)3/s4

    0.9s/((s - 0.1)(s + 0.2))

    Use the Laplace transform to solve the given initial value problem
    y'' + y' = 21/2sin21/2t y(0) = 10, y'(0)= 0

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

    Evaluate the Laplace transform of
    L[(1 - et + 3e-4t)cos5t]

    L-1[(2s - 1)/(s2(s2 + 1)3)]

    I'm sorry I don't have all of the symbols down yet.

    edit: I solved a couple
    Last edited by tmanerchia; December 10th 2012 at 10:25 AM.
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  2. #2
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    Re: Help with a couple differential equation problems.(mostly laplace transforms)

    Quote Originally Posted by tmanerchia View Post
    Please and thank you.

    Solve by undetermined coefficients
    y'' + 3y = -48x2 * e3x

    Find a linear operator that annihilates the given function, and verify
    3 + ex * cos2x


    Inverse Laplace transforms of
    (s + 1)3/s4

    0.9s/((s - 0.1)(s + 0.2))

    Use the Laplace transform to solve the given initial value problem
    y'' + y' = 21/2sin21/2t y(0) = 10, y'(0)= 0

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

    Evaluate the Laplace transform of
    L[(1 - et + 3e-4t)cos5t]

    L-1[(2s - 1)/(s2(s2 + 1)3)]

    I'm sorry I don't have all of the symbols down yet.

    edit: I solved a couple
    First do not post anywhere near the number of problems you have. Put them is separate threads. It's too confusing to work with.

    Second, you said you have done some work. Please show us what you have done.

    -Dan
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  3. #3
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    Re: Help with a couple differential equation problems.(mostly laplace transforms)

    I took out the ones I did the work on. The problems that are left are the ones I don't know how to solve. Sorry about having them all in one post I just thought it would be easier that way.
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