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1. 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)=-1.25+3.5te$^{-2t}$+1.25e$^{-2t}$ >> syms t s >> f=-1.25+3.5texp(-2t)+1.25exp(-2t); >> F=laplace(f,t,s) F= -5/(s+2)+7/(s+2)$^2$+5/4/(s+2) >> simplify(F) ans = (s-5)/s/(s+2)$^2$ >> pretty(ans) which corresponds to F(s), $F(s) = \frac{(s-5)}{s(s+2)^2}$ Alternatively, one can write the function f(t) directly as part of the Laplace command: >>F2=laplace(-1.25+3.5texp(-2t)+1.25exp(-2t)) b. Calculating the Laplace F(s) transform of a function f(t) by using Octave >> pkg load symbolic >> syms t s Next you define the function f(t). The actual command to calculate the transform is

          1. 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)=-1.25+3.5te$^{-2t}$+1.25e$^{-2t}$
>> syms t s
>> f=-1.25+3.5*t*exp(-2*t)+1.25*exp(-2*t);
>> F=laplace(f,t,s)
F=
-5/(s+2)+7/(s+2)$^2$+5/4/(s+2)
>> simplify(F)
ans =
(s-5)/s/(s+2)$^2$
>> pretty(ans)
which corresponds to F(s),
$F(s) = \frac{(s-5)}{s(s+2)^2}$
Alternatively, one can write the function f(t) directly as part of the Laplace command:
>>F2=laplace(-1.25+3.5*t*exp(-2*t)+1.25*exp(-2*t))
b. Calculating the Laplace F(s) transform of a function f(t) by using Octave
>> pkg load symbolic
>> syms t s
Next you define the function f(t). The actual command to calculate the transform is

1. 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)=-1.25+3.5te^-2t+1.25e^-2t
>> syms t s
>> f=-1.25+3.5*t*exp(-2*t)+1.25*exp(-2*t);
>> F=laplace(f,t,s)
F=
-5/(s+2)+7/(s+2)^2+5/4/(s+2)
>> simplify(F)
ans =
(s-5)/s/(s+2)^2
>> pretty(ans)
which corresponds to F(s),
F(s) = ((s-5))/(s(s+2)^2)
Alternatively, one can write the function f(t) directly as part of the Laplace command:
>>F2=laplace(-1.25+3.5*t*exp(-2*t)+1.25*exp(-2*t))
b. Calculating the Laplace F(s) transform of a function f(t) by using Octave
>> pkg load symbolic
>> syms t s
Next you define the function f(t). The actual command to calculate the transform is

Added by Veronica S.

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