Question: 2. Suppose a differential equation has a general solution of y = C1x2 + c2 cos(3x) + c3 sin(3x). (a) What was the order of

2. Suppose a differential equation has a general solution of y = C1x2 + c2 cos(3x) + c3 sin(3x). (a) What was the order of this differential equation? Explain your answer. (b) Was this differential equation homogeneous or nonhomogeneous? Explain your answer. 3. y1 = ex is one solution to the differential equation y" + 6y' + 9y = 0. find a second solution using Reduction of Order. 4. The homogeneous differential equation x?y" -13y' + 27 = 0 has the following general solution. y = cix' + c 2x 9 Use Variation of Parameters to find one solution to the nonhomogeneous equation x y" - 13y' + 27 = xlle2x

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