MTM[ilaplace] - inverse Laplace integral transform
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Calling Sequence
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ilaplace(M)
ilaplace(M,y)
ilaplace(M,y, x)
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Parameters
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M
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array or expression
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y
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variable expr is transformed with respect to y
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x
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variable in transformed expression
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Description
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The ilaplace(M) calling sequence computes the element-wise inverse Laplace transform of M. The result, R, is formed as R[i,j] = ilaplace(M[i,j], y, x).
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ilaplace(L) is the inverse Laplace transform of the scalar L with default independent variable s. If L is not a function of s, then L is assumed to be a function of the independent variable returned by findsym(L,1).The default return is a function of t.
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If L = L(t), then ilaplace returns a function of x.
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where c is a real number selected so that all singularities of L(s) are to the left of the line s = c and the integration above proceeds with respect to s.
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ilaplace(L,y) makes F a function of the variable y instead of the default t.
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ilaplace(L,y,x) takes L to be a function of x instead of the default t. The integration is then with respect to y.
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Examples
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