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MTM[laplace] - Laplace integral transform
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Calling Sequence
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laplace(M)
laplace(M,s)
laplace(M,t, s)
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Parameters
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M
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array or expression
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t
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variable
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s
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variable
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Description
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L = laplace(F) is the Laplace transform of the scalar F with default independent variable t. If F is not a function of t, then F is assumed to be a function of the independent variable returned by findsym(F,1).The default return is a function of s.
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If F = F(s), then laplace returns a function of t.
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where the integration above proceeds with respect to t.
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laplace(F,x) makes L a function of the variable x instead of the default s.
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laplace(F,z,x) makes L a function of x instead of the default s. The integration is then with respect to z.
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The laplace(M) function computes the element-wise Laplace transform of M. The result, R, is formed as R[i,j] = laplace(M[i,j]).
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Examples
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![M := Matrix([BesselI(0, 2*t), BesselI(0, 2*z*t)])](/support/helpjp/helpview.aspx?si=7646/file04838/math172.png)
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![Matrix([[1/(s^2-4)^(1/2), 1/(s^2-4*z^2)^(1/2)]])](/support/helpjp/helpview.aspx?si=7646/file04838/math179.png)
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