The differential equation: d² x dt² + bdx +cx = 0 dt. has a solution given by: y = Aemx Aemx + Benx where m = 4 and n = -0.5 are real. If the initial conditions are y = 2 and dy/dt = 0.7 when x = 0, find the values of A. Give your answer to 3 decimal places. a

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