A hand-held calculator will suffice for 1 through 8. In each problem an initial value
Chapter 6, Problem 6.4.1(choose chapter or problem)
A hand-held calculator will suffice for 1 through 8. In each problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2) in three ways: (a) by the Euler method with two steps of size h = 0. 1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge-Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = x + 2y, x(O) = 0, y' = 2x + y, yeO) = 2; x(t) = e3t - e-t , yet) = e3t + e-t
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