Consider the initial value problem: x²y" + 6y = 4.xy' + 12 y(0) = 2, y'(0) = 0 a) Show that y=x^3 + 2 is a solution to this initial value problem. b)Show that y=x^2+ 2 is a solution to this initial value problem. c)Explain why parts (a)/(b) do NOT contradict the Existence and Uniqueness Theorem for linear Differential Equations.

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