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The function x(t) solves the differential equation x+ xx' = 0. Determine the initial conditions for which x(t) diverges at some finite t > 0.a)

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The function x(t) solves the differential equation x"+ xx' = 0. Determine the initial conditions for which x(t) diverges at some finite t > 0.a) x(0) = 1, x'(0) = -1b) x(0) = 5,x'(0) = 0c) x(0) = 2, x'(0) = -2d) x(0) = 0, x'(0) = 2e) x(0) = -2, x'(0) = 2

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