The general form of a linear, homogeneous, second-order equation with constant coefficients is
(a) Write the first-order system for this equation, and write this system in matrix form.
(b) Show that if q ≠ 0, then the origin is the only equilibrium point of the system.
(c) Show that if q ≠ 0, then the only solution of the second-order equation with y constant is y(t) = 0 for all t.
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