A computer will be requiredfor the remaining problems in this section. In 9 through 12

Chapter 6, Problem 6.4.12

(choose chapter or problem)

A computer will be requiredfor the remaining problems in this section. In 9 through 12, an initial value problem and its exact solution are given. In each of these four problems, use the Runge-Kutta method with step sizes h = 0. 1 and h = 0.05 to approximate to five decimal places the values x(l) and y(l). Compare the approximations with the actual values. x" + x = sin t, x (0) = 0; x(t) = (sin t - t cos t)

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