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**1. The problem statement, all variables and given/known data**

y

_{1}= x

^{2}and y

_{2}= x

^{3}are two different solutions of x

^{2}y'' - 4xy' + 6y = 0, both satisfying the initial conditions y(0) = 0 = y'(0). Explain why these facts don't contradict Theorem 2 (with respect to the guaranteed uniqueness).

**2. Relevant equations**

**3. The attempt at a solution**

I have no attempt because I don't understand how it doesn't violate the theorem?