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Math Help - laplace please help

  1. #1
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    laplace please help

    L{sin22t} <------ This was the question

    sin2A = 1/2(1-cos2A) <------ this was a note on the question

    Below is me trying to laplace it

    1/2(1-cos2(2t))

    1/2(1-cos4t)

    1/2 * 1 - 1/2 cos4t

    L 1/2 {1} - L 1/2 { s }
    ..........s ............s2+32

    1 - ....... s .
    2s .....2s2+32


    as you can see something doesn't seem correct and the answer doesn't flow like the other questions did so im not sure where im going wrong and help would be appreciated.
    post looks like a bit of a mess because im not sure how to put in spaces. please ignore the(.)
    Last edited by lukebond; October 8th 2012 at 02:08 AM.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: laplace please help

    Your answer is right:

    \displaystyle\begin{aligned}\mathcal{L}\left\{\sin  ^2 2t\right\}&=\mathcal{L}\left\{\frac{1}{2}\cdot 1-\frac{1}{2}\cos 4t\right\}\\&=\frac{1}{2}\mathcal{L}\left\{1\right  \}-\frac{1}{2}\mathcal{L}\left\{\cos 4t\right\}\\&=\frac{1}{2}\;\frac{1}{s}-\frac{1}{2}\frac{s}{s^2+16}\\&=\frac{1}{2s}-\dfrac{s}{2s^2+32}\end{aligned}
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  3. #3
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    Re: laplace please help

    thanks very much. How do you write equations in this forum.
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  4. #4
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    Re: laplace please help

    The way I do it is to do "Go Advanced" and then there's a button labeled \Sigma which puts in these bracket-TEX things that go around the equations. Entering the equations is easy enough - there's lots of help online. If you mouse over an equation on MHF it gives you the code used to generate it. You can also look online - google LaTeX and the thing you want to do.

    There's also a LaTeX help forum here on MHF.

    - Hollywood
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