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Solve the initial value problem below using the method of Laplace transforms. (" + y' - by = 0, y(0) = 2, y' (0) = 24 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = (Type an exact answer in terms of e.)Find the inverse Laplace transform of the following function using the theorem of transforms of integrals. F(S)= s( s 2 +9 The solution is f(t) = (Type an expression using t as the variable. Type an exact answer.)Apply the translation theorem to find the inverse Laplace transform of the following function. 9s + 1 F(S)= 2 -45+68 Click the icon to view the table of Laplace transforms. 2 (F(s)) = (Type an expression using t as the variable.)