Question: In problem proceed as in Example 3 and obtain the first six nonzero terms of a Taylor series solution, centered at 0, of the given

In problem proceed as in Example 3 and obtain the first six nonzero terms of a Taylor series solution, centered at 0, of the given initial-value problem. Use a numerical solver and a graphing utility to compare the solution curve with the graph of the Taylor polynomial.

y'' = x + y2, y(0) = 1, y'(0) = 1

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