a) Find one more nonzero term for each of the solutions y1(x) and y2(x) in Example 8

Chapter 6, Problem 30

(choose chapter or problem)

a) Find one more nonzero term for each of the solutions y1(x) and y2(x) in Example 8. (b) Find a series solution y(x) of the initial-value problem y (cos x)y 0, y(0) 1, y(0) 1. (c) Use a CAS to graph the partial sums SN(x) for the solution y(x) in part (b). Use N 2, 3, 4, 5, 6, 7. (d) Compare the graphs obtained in part (c) with the curve obtained using a numerical solver for the initial-value problem in part (b). y

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