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Consider the differential equation 4y - 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xe*/2 form a fundamental set of

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Consider the differential equation 4y" - 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xe*/2 form a fundamental set of solutions of the differential equation on the interval (-co, co). The functions satisfy the differential equation and are linearly independent since W(ex/2, xex/2) = # 0 for - co

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