Question: 3. (30 points) Consider the following autonomous system: x = == x2 + x1 (x+x) -x1+x2 (x+x) (1) (2) 1. Prove that every solution blows

3. (30 points) Consider the following autonomous system: x = == x2 + x1 (x+x) -x1+x2 (x+x) (1) (2) 1. Prove that every solution blows up in finite time, except the trivial solution = x2 = 0. (Hint: Perform a substitution to turn the system into a scalar equation) 2. What is the blow-up time when (x1 (0), 2(0)) = (1,0)

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