Answer: In each of 1 through 5, determine approximate values of the solution x = (t), y

Chapter 8, Problem 3

(choose chapter or problem)

In each of 1 through 5, determine approximate values of the solution x = (t), y = (t) of the given initial value problem at t = 0.2, 0.4, 0.6, 0.8, and 1.0. Compare the results obtained by different methods and different step sizes. N a. Use the Euler method with h = 0.1. N b. Use the Runge-Kutta method with h = 0.2. N c. Use the Runge-Kutta method with h = 0.1.x_ = x y + xy, y_ = 3x 2y xy; x(0) = 0, y(0) = 1

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