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points 2 Reduce the following initial value problem to one involving a first order linear differential equation system 4 points 1 y 3y 2y x

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points 2 Reduce the following initial value problem to one involving a first order linear differential equation system 4 points 1 y 3y 2y x e y 0 1 y 0 y 0 3 2 t t b Please find the corresponding fundamental matrix and solve the above linear differential equation 4 points c Please find the corresponding et 4 points d Please prove the linear differential equation system solution derived using et will be the same as b 4 points e Please also use Laplace Transformation method to solve the problem 4 points

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