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1. (10 points) Find the general solution of the equation y(6)+64y=0. 2. (10 points) Consider the system x' = a. Compute the fundamental matrix P(t) which satisfies P(0) = I. b. Sketch several trajectories in the phase plane. Your sketch should note the direction of the trajectories and indicate any asymptotic (as t too) behavior. 3. (10 points) Find the general solution to the system *=(iii) 1 -2 2 2 X, 1 and determine all initial data X0 E R³ such that the solution to the initial value problem with x(0) = X0 remains bounded for all t 0. 4. (10 points) Solve the initial value problem *=(7) =

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