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Math Help - Systems of linear Differential Equations

  1. #1
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    Systems of linear Differential Equations

    Hi everyone,
    I hope I can post this here.

    Im looking for help entering the following problem into wolfram alphas web based engine, if even possible. Id like to solve using the laplace transformation.
    I cant install any math software of this computer as i dont have rights to do so, a web based solution is the only thing I can think of. Im interested in seeing the steps for solving problems of this nature which wolfram can provide.

    Thanks for your help.

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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Systems of linear Differential Equations

    Taking \mathcal{L} :

    \begin{Bmatrix} s\mathcal{L}\{x\}=4\mathcal{L}\{x\}-2\mathcal{L}\{y\}+\dfrac{2e^{-s}}{s}\\\ldots\end{matrix}\Leftrightarrow \ldots
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  3. #3
    A Plied Mathematician
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    Re: Systems of linear Differential Equations

    You're going to have to do one equation at a time.

    First equation:

    LaplaceTransform[x'[t]==4x[t]-2y[t]+2UnitStep[t-1],t,s].

    Can you see where to go from there?
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