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Consider the differential equation y - 4y = 0. (a) Show that y = Ae2x + Be-2x is a solution to y - 4y =

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Consider the differential equation y" - 4y = 0. (a) Show that y = Ae2x + Be-2x is a solution to y" - 4y = 0 where A and B are constants. (b) Find the values of A and B so that the solution y = Ae * + Be-2x satisfies the conditions that y(0) = 2 and y'(0) = 0

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