Consider the equationay + by + cy = 0, (i)where a, b, and c are constants with a = 0. In
Chapter 7, Problem 29(choose chapter or problem)
Consider the equationay + by + cy = 0, (i)where a, b, and c are constants with a = 0. In Chapter 3 it was shown that the generalsolution depended on the roots of the characteristic equationar2 + br + c = 0. (ii)(a) Transform Eq. (i) into a system of first order equations by letting x1 = y, x2 = y. Findthe system of equations x = Ax satisfied by x =x1x2 .(b) Find the equation that determines the eigenvalues of the coefficient matrix A inpart (a). Note that this equation is just the characteristic equation (ii) of Eq. (i).
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