Question: Convert the following differential equation into a first-order vector-valued differential equation and then into a fixed-point problem: y =y xy 3x2, for x[0,2], y(0)=2, and

Convert the following differential equation into a first-order vector-valued differential equation and then into a fixed-point problem: y =y xy 3x2, for x[0,2], y(0)=2, and y(0)=1. Can we apply the Global Picard Theorem for the corresponding first-order vector valued differ- ential equation? Justify your

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