Eulers Method Consider the differential equation with the initial condition (a) Use

Chapter 8, Problem 116

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Eulers Method Consider the differential equation with the initial condition (a) Use integration to solve the differential equation. (b) Use a graphing utility to graph the solution of the differential equation. (c) Use Eulers Method with 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 and generate the first 40 points. (e) Why is the result in part (c) a better approximation of the solution than the result in part (d)?

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