Find a Cauchy-Euler differential equation ax2y'' + 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.
Find a Cauchy-Euler differential equation ax2y'' + 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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Find a Cauchy-Euler differential equation ax2y'' + 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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