a) Show that if F(s) = .2{/(f)}, and {/(0//} is Laplace-transformable, then F(u)du = %

Chapter 12, Problem 12.24

(choose chapter or problem)

a) Show that if F(s) = .2{/(f)}, and {/(0//} is Laplace-transformable, then F(u)du = % /(0 (Hint: Use the defining integral to write F(u)du = OO / /,00 fit)e~tadt du and then reverse the order of integration.) b) Start with the result obtained in 12.23(c) for 5{/sin/3r} and use the operational transform given in (a) of this problem to find % {sin (3t}.

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