Determine a Cauchy-Euler equation of minimum possible order with real coefficients if it is known that m = 4 and m = -2i are two of the roots of its auxiliary equation. You may find it helpful that a third-order Cauchy-Euler equation of the form ax³y" +bx²y" + cay + dy = 0 has the following auxiliary equation: am³ + (b-3a)m² + (2a-b+c)m + d = 0.

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