Mathematics, 27.02.2020 05:54, xojade

Consider the differential equation y '' − 2y ' + 10y = 0; ex cos(3x), ex sin(3x), (−[infinity], [infinity]). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(ex cos(3x), ex sin(3x)) = ≠ 0 for −[infinity] < x < [infinity]. Form the general solution. y =

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Consider the differential equation y '' − 2y ' + 10y = 0; ex cos(3x), ex sin(3x), (−[infinity], [inf...