5. PROBLEM 5 Solve the following homogeneous differential equations: (1) y 4y' + 3y =...

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5. PROBLEM 5 Solve the following homogeneous differential equations: (1) y" – 4y' + 3y = 0. (2) y" – 8y' + 16y = 0. (3) y" + 2y = 0. (4) y" – 3y" + 3y – y = 0. (5) yiv – 2y" + 2y" – 2y + y = 0. (6) yiv – 5y" + 5y" + 5y – 6y = 0. %3! %3D Find the Green Functions associated to the equations given in the previous problem. 5. PROBLEM 5 Solve the following homogeneous differential equations: (1) y" – 4y' + 3y = 0. (2) y" – 8y' + 16y = 0. (3) y" + 2y = 0. (4) y" – 3y" + 3y – y = 0. (5) yiv – 2y" + 2y" – 2y + y = 0. (6) yiv – 5y" + 5y" + 5y – 6y = 0. %3! %3D Find the Green Functions associated to the equations given in the previous problem.