Convolution Theorem If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential order, then L{f* g} = L{f(t)} L{g(t)} = F(s)G(s). Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.(Write your answer as a function of s.) tet - t

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.FR1: A Further Look: Limits
Problem 1E
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Convolution Theorem
If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential
order, then
L{f* g} = L{f(t)} L{g(t)} = F(s)G(s).
Transcribed Image Text:Convolution Theorem If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential order, then L{f* g} = L{f(t)} L{g(t)} = F(s)G(s).
Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.(Write your answer as a function of s.)
tet - t
Transcribed Image Text:Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.(Write your answer as a function of s.) tet - t
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