(All Steps) 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.
Question: 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.
\(y^{\prime \prime}=e^{y}, \quad y(0)=0, y^{\prime}(0)=-1\)
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