Question: (a) Solve the initial value problem (b) Sketch a picture of your solution curve u(t), indicating the direction of motion. (c) Is the origin O

(a) Solve the initial value problem

(b) Sketch a picture of your solution curve u(t), indicating the direction of motion.
(c) Is the origin O
(i) Stable?
(ii) Asymptotically stable?
(iii) Unstable?
(iv) None of these?
Justify your answer.

3 3

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