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.

http://img809.imageshack.us/img809/6500/img7105p.jpg

Re: Systems of linear Differential Equations

Taking $\displaystyle \mathcal{L}$ :

$\displaystyle \begin{Bmatrix} s\mathcal{L}\{x\}=4\mathcal{L}\{x\}-2\mathcal{L}\{y\}+\dfrac{2e^{-s}}{s}\\\ldots\end{matrix}\Leftrightarrow \ldots$

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?