Compute the inverse Laplace transform f(t) = [F(s)] of the following function: 1 =-(e-as-e-bo) $+0 F(s)...

 

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Compute the inverse Laplace transform f(t) = £¹[F(s)] of the following function: 1 =-(e-as-e-bo) $+0 F(s) = - where a, b, and a are constants. Hint: Recall that the following property holds for translated functions C[f(t-a)H(t-a)] esa F(s), which implies that f(t)=¹[eF(s)] = f(t-a)H(t-a) The expression above can be written as a sum of two functions of this form. Compute the inverse Laplace transform f(t) = £¹[F(s)] of the following function: 1 =-(e-as-e-bo) $+0 F(s) = - where a, b, and a are constants. Hint: Recall that the following property holds for translated functions C[f(t-a)H(t-a)] esa F(s), which implies that f(t)=¹[eF(s)] = f(t-a)H(t-a) The expression above can be written as a sum of two functions of this form.

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