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Compare these expressions with the one given earlier in the definition of the Laplace transform, i.e.,
L{f (t)}= F (s) = ∫0∞ f (t) ⋅ e− st dt,
and you will notice that the CAS default variable X in the equation writer screen replaces the variable s in this definition. Therefore, when using the function LAP you get back a function of X, which is the Laplace transform of f(X).
Example 2 – Determine the inverse Laplace transform of F(s) = sin(s). Use:
‘1/(X+1)^2’`ILAP
The calculator returns the result:
Fourier series
A complex Fourier series is defined by the following expression
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| f (t) = ∑ cn ⋅ exp( | ), | |||
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| n=−∞ | T | ||
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cn | = | 1 | ∫ T | f (t) ⋅ exp( | 2 ⋅ i ⋅ n ⋅π | ⋅ t) ⋅ dt, | n = −∞,...,−2,−1,0,1,2,...∞. | |
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Function FOURIER
Function FOURIER provides the coefficient cn of the
Fourier series given the function f(t) and the value of n. The function FOURIER requires you to store the value of the period (T) of a
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