Consider the equation y y 2y = 0.(a) Show that y1(t) = et and y2(t) = e2t form a
Chapter 3, Problem 28(choose chapter or problem)
Consider the equation y y 2y = 0.(a) Show that y1(t) = et and y2(t) = e2t form a fundamental set of solutions.(b) Let y3(t) = 2e2t, y4(t) = y1(t) + 2y2(t), and y5(t) = 2y1(t) 2y3(t). Are y3(t), y4(t),and y5(t) also solutions of the given differential equation?(c) Determine whether each of the following pairs forms a fundamental set of solutions:[y1(t), y3(t)]; [y2(t), y3(t)]; [y1(t), y4(t)]; [y4(t), y5(t)].
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