Mathematics, 06.03.2020 23:23 mv603177

Consider the differential equation y'' − y' − 20y = 0. Verify that the functions e−4x and e5x 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 W e−4x, e5x = ≠ 0 for −[infinity] < x < [infinity].

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Consider the differential equation y'' − y' − 20y = 0. Verify that the functions e−4x and e5x form a...

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