Question: Exercise 1. For each of the following initial value problems, find the solution y(t) and determine the limit lime . y(t) if it exists. (1)

Exercise 1. For each of the following initial value problems, find the solution y(t) and determine the limit lime . y(t) if it exists. (1) y" + y' - 12y = 0, y(0) = 4, y'(0) = -9. (2) 16y" - 8y + y = 0, y(0) =4, y'(0) = -2. (3) 9y" +y =0, y(3m) = 2, y'(37) = -2

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