Determine the general solution for each given higher order differential equation or particular solution for a given IVP or BVP. 1. y(4) – 3y" + 2y/ = 0 dz 2. (D² + 8D + 25)³(D² – 4D – 5)²(D² – 2D – 15)*z = 0, Dz= dx 3. y" – 2y' + 2y = 0, y(0) = 1, y (7) = 1 4. y" + y/ + v = e"(sin 3x – cos 3) (undetermined coefficients) 5. 3y" – 6y + 6y = e* sec x (variation of parameters)

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A: I am attaching image so that you understand each and every step.

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