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According to the Existence and Uniqueness Theorem, which of the following differential equations are guaranteed to...

According to the Existence and Uniqueness Theorem, which of the following differential equations are guaranteed to have a unique solution on the specified interval. Explain your reasoning.

x2d3ydx3-4x-1d2ydx2+3dydx+2y=0,y(0)=2,y'(0)=1,y(0)=0

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