Question: Solve step by step please Find three linearly independent solutions of the 3rd-order linear homogeneous differential equation y - 5y + 12y - 8y =0

Solve step by step please Find three linearly independent solutions of

Solve step by step please

Find three linearly independent solutions of the 3rd-order linear homogeneous differential equation y" - 5y" + 12y - 8y =0 The linearly independent solutions are y1 = y2 = y3 = and the general solution of the equation is y (x) = where C1, C2, and c3 are arbitrary constants. ( Note: If m1, m2 and my are three solutions of the auxiliary (characteristic) equation such that my

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