Given the third order homogeneous equation with constant coe

Given the third order, homogeneous equation, with constant coefficients y\'\" + ay\" + by\' + cy = 0. Transform the equation into a system of first order equations by setting x_1 = x_2 = y\', x_3 = y\". Then write your system in the vector-matrix form x\' = Ax. Find the characteristic equation for the coefficient matrix you found in part (a). Compare your result in (b) with the characteristic equation for y\"\' + ay\" + by\' + cy = 0.

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