Use the Final Value Theorem to predict y() BEFORE taking the inverse Laplace. Also check y(0)...

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Use the Final Value Theorem to predict y(∞) BEFORE taking the inverse Laplace. Also check y(0) using the Initial Value Theorem. The differential equation da +6y +9y=cost dt has initial conditions, y(0) = 1, y' (0) = 2. If y(s) = s+1 s(s+45+8) find y(t). Use the Final Value Theorem to predict y(∞) BEFORE taking the inverse Laplace. Also check y(0) using the Initial Value Theorem. The differential equation da +6y +9y=cost dt has initial conditions, y(0) = 1, y' (0) = 2. If y(s) = s+1 s(s+45+8) find y(t).