(a) Prove, using the definition, that L{f(at)} = F() (a #0). (b) Prove, using the definition,...

 

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(a) Prove, using the definition, that L{f(at)} = F() (a #0). (b) Prove, using the definition, that L{eat f(t)} = F(s-a). (c) Prove, using the definition, that the Laplace transform of the function f(t)=e does not exist. (a) Prove, using the definition, that L{f(at)} = F() (a #0). (b) Prove, using the definition, that L{eat f(t)} = F(s-a). (c) Prove, using the definition, that the Laplace transform of the function f(t)=e does not exist.

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To prove that fat F for a 0 we need to use the definition of the Laplace transform Lift Fs ft dt Let ... View the full answer