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Find three linearly independent solutions of the 3rd-order linear homogeneous differential equation y - 6y + 12y' - 8y = 0 The linearly independent solutions

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Find three linearly independent solutions of the 3rd-order linear homogeneous differential equation y" - 6y" + 12y' - 8y = 0 The linearly independent solutions are y1 = 92 = y3 = and the general solution of the equation is y (x) = where C1, C2, and c3 are arbitrary constants. (Note: If m1. m2 and 1723 are three solutions of the auxiliary (characteristic) equation such that m1

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