In 1518, proceed as in Example 3 and obtain the first six nonzero terms of a Taylor

Chapter 3, Problem 15

(choose chapter or problem)

In Problems 15-18, 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.

\(y^{\prime \prime}=x+y^{2}\), y(0)=1, \(y^{\prime}(0)=1\)

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