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3-40%) Consider the governing system of equations x (t ) + x (t) + 4x(t) =t, x(0) = 0, x(0) = 2. For reference, the

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3-40%) Consider the governing system of equations x (t ) + x (t) + 4x(t) =t, x(0) = 0, x(0) = 2. For reference, the Laplace transform of t is given by L (t) = 2. 3.1) Solve this system using the method of undetermined coefficients. 3.2) Use the Laplace transform method to show that you get the same form of solution as in (3.1) above. (You do not have to solve for the exact coefficients in the final expression of your solution!). You must explain all of your steps in explaining the form of your solution

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