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Mathematics, 21.06.2020 01:57 gigi813

Consider the differential equationy'' − y' − 30y = 0.Verify that the functions e−5x and e6x 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 the Wronskian We−5x, e6x = ≠ 0 for −[infinity] < x < [infinity].Form the general solution.

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Consider the differential equationy'' − y' − 30y = 0.Verify that the functions e−5x and e6x form a f...
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