4. Find a Cauchy-Euler differential equation aa?y" + bæy + cy = 0, where a, b, and c are real constants, if it is known that: (а) т1 = 3 and m2 = -1 are roots of its auxiliary equation; (b) mị = i is a complex root of its auxiliary equation.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Find a Cauchy-Euler differential equation aa?y" + bæy + cy = 0, where a, b, and c are real
constants, if it is known that:
(а) т1
= 3 and m2 = -1 are roots of its auxiliary equation;
(b) mị = i is a complex root of its auxiliary equation.
Transcribed Image Text:4. Find a Cauchy-Euler differential equation aa?y" + bæy + cy = 0, where a, b, and c are real constants, if it is known that: (а) т1 = 3 and m2 = -1 are roots of its auxiliary equation; (b) mị = i is a complex root of its auxiliary equation.
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