FindaCauchy-Eulerdifferentialequationax2y'' + bxy' + cy = 0, where a, b, and c are real

Chapter 3, Problem 12

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FindaCauchy-Eulerdifferentialequationax2y'' + bxy' + cy = 0, where a, b, and c are real constants, if it is known that (a) m1 = 3 and m2 = -1 are roots of its auxiliary equation, (b) m1 = i is a complex root of its auxiliary equation.

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