Question: Exercise 1. For each of the following initial value problems, find the solution y(t) and determine the limit lim y(t) if it exists. (1) y+y-12y

Exercise 1. For each of the following initial value problems, find the solution y(t) and determine the limit lim 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, (3) = 2, y'(3) = -2.

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