Real Coefficients: Suppose the roots of the characteristic equation for (1) are complex conjugates a i(,

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Real Coefficients: Suppose the roots of the characteristic equation for (1) are complex conjugates a ± i(, which gives rise to the general solution y = k1e(a+i()t + k2e(a-i()t, where k1 and k2 are any constants (even complex). Show that in order for the solution y(t) to be real, k1 and k2 must be complex conjugates?
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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