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Use the fourth-order Runge-Kutta subroutine with h = 0.25 to approximate the solution to the initial value problem below, at x = 1. Using

 

Use the fourth-order Runge-Kutta subroutine with h = 0.25 to approximate the solution to the initial value problem below, at x = 1. Using the Taylor method of order 4, the solution to the initial value problem, at x=1, is (1)=6.480222. Compare your approximation with the one obtained using the Taylor method. Note whether or not y' = x+8-y, y(0) = 3 is bounded. Let y' = f(x,y). Find and determine whether or not it is bounded on the vertical strip S = {(x,y): 0

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