Apply Theorem 2 with p = 1 to verify that {1} = 1/s. THEOREM 2 Transforms
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Apply Theorem 2 with p = 1 to verify that ℒ {1} = 1/s.
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THEOREM 2 Transforms of Periodic Functions Let f(t) be periodic with period p and piecewise continuous for t≥ 0. Then the transform F(s) = L{f(t)} exists for s> 0 and is given by F(s) = = 1 - P₁ [ ² e-²₁ 1- e-ps e-st f(t) dt. (6)
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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