Determine a Cauchy-Euler equation of minimum possible order with real coefficients it it 3 and m = -2i are two of the roots of its auxiliary equation. is known that m = You may find it helpful that a third-order Cauchy-Euler equation of the form ax'y" + bx²y" + cxy + dy = 0 has the following auxiliary equation: am + (b – 3a)m² + (2a – b + c)m + d = 0.

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