Suppose that F(s) = L{f(t)} exists for s > a 0.(a) Show

Chapter 6, Problem 25

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Suppose that F(s) = L{f(t)} exists for s > a 0.(a) Show that if c is a positive constant, thenL{f(ct)} =1cFsc, s > ca.(b) Show that if k is a positive constant, thenL1{F(ks)} =1k ftk.(c) Show that if a and b are constants with a > 0, thenL1{F(as + b)} =1aebt/afta.

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