Name:

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Goal: To learn how to use MATLAB$/$Octave for Laplace transforms.

Calculate the Laplace Transform using Matlab$/$Octave

a$.$ Calculating the Laplace $F(s)$ transform of a function $f(t)$ is quite simple in Matlab. First you need to specify that the variable $t$ and $s$ are symbolic ones. This is done with the command

$>$ syms $ts$

Next you define the function $f(t).$ The actual command to calculate the transform is

$>F=$laplace$(f,t,s)$

here is an example for the function $f(t),$

$f(t)=-1\mathrm{.}25+3\mathrm{.}5t{e}^{-2t}+1\mathrm{.}25e^{-2t}$