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Please provide clear solutions for the following problems. It is about Higher Order DE and Method of Undetermined Coefficient. Please use appropriate methods. Higher Order

Please provide clear solutions for the following problems. It is about Higher Order DE and Method of Undetermined Coefficient. Please use appropriate methods.

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Higher Order DE and Method of Undetermined Coefficient Solve the following Problems. Show your solutions clearly. Answers without solutions will not be considered. 1.Solve y" - 6y" + 2y' + 36y = 0. 2.Solve Ad' x + 7 d'x dx 4 4 d14 + 6x = 0. d12 3. y" - y' - 2y = 4x2 4. y" - 6y' + 25y = 2sin - - COS 2 5 . '" " - 6y" + 1ly' - 6y = 2xe-x

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