Mathematics, 12.03.2020 21:33, juli8350

Consider the differential equation 4y'' − 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xex/2 form a fundamental set of solutions of the differential equation on the interval (−[infinity], [infinity]). The functions satisfy the differential equation and are linearly independent since W(ex/2, xex/2) = ≠ 0 for −[infinity] < x < [infinity]. Form the general solution.

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Consider the differential equation 4y'' − 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 a...