The Laplace transform - Purdue University
2 |f(t)|≤Keat forK,a≥0. Conclusion: Lf0existsand Lf0(s) = sLf(s)−f(0) Theorem 2. Proof:Byintegrationbyparts Z A 0 e−stf0(t)dt= h e−stf(t) i A 0 +s Z A 0 e−stf(t)dt SamyT. Laplacetransform Differentialequations 13/51
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