Problem 18E

In Problems 13–16 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.

Reference : Example 3

Solution :

Step 1 of 6 :

In this problem, we need to the first six nonzero terms of a Taylor series solution at centered at

0 , Solve and graph the initial value problem.