In Exercises consider the differential equation and repeat parts (a)–(d) of Exercises 94.

Data from in Exercises 94

(a) Use integration to solve the differential equation.
(b) Use a graphing utility to graph the solution of the differential equation.

(c) Use Euler’s Method with h = 0.05 and the recursive capabilities of a graphing utility, to generate the first 80 points of the graph of the approximate solution. Use the graphing utility to plot the points. Compare the result with the graph in part (b).

(d) Repeat part (c) using h = 0.1 and generate the first 40 points.

f'(x) = cos x f(0) = 1