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[1] [2 marks] Consider the initial value problem x+|x|+ x = 0, x(1) = 1, x(1) = 0. Without calculating anything, do you expect

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[1] [2 marks] Consider the initial value problem x+|x|+ x = 0, x(1) = 1, x(1) = 0. Without calculating anything, do you expect that this equation admits a solution? If yes, is the solution unique? Argue your answer.

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