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If the auxiliary equation produces a repeated real root m of multiplicity 2, wha...

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If the auxiliary equation produces a repeated real root m of multiplicity 2, what is the mathematically sound form of the complementary function?

y = c₁ x e^(mx)

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y = c₁ e^(mx) + c₂ e^(−mx)

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y = e^(mx)(c₁ cos x + c₂ sin x)

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y = (c₁ + c₂x) e^(mx)

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