Auxiliary equation with complex roots

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Complex conjugate roots of auxiliary equation

Euler Formula: order linear

Differential Equations

y 2 = cos ( β x) − i sin ( β x). Then, let. Y 1 = 1 2 ( y 1 + y 2) = cos ( β x), and. Y 2 = 1 2 i ( y 1 − y 2) = sin ( β x). Now, one can show that for any constants c 1 and c 2, there are

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Auxiliary Equations with Complex Roots Eulers Formula

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