6 (15 pts) (a) Show that the set of functions {e21, e-*, e3r} is linearly independent. (b) Find the general solution for
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6 (15 pts) (a) Show that the set of functions {e21, e-*, e3r} is linearly independent. (b) Find the general solution for
6 (15 pts) (a) Show that the set of functions {e21, e-*, e3r} is linearly independent. (b) Find the general solution for the homogeneous linear differential equation with constant coeffi- cients whose auxiliary equation is (r +1)?(r - 1)3(72 +1+3).
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