Use the Runge-Kutta Fehlberg Algorithm with tolerance TOL = 10~4 to approximate the

Chapter 5, Problem 2

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Use the Runge-Kutta Fehlberg Algorithm with tolerance TOL = 10~4 to approximate the solution to the following initial-value problems. a. y'= (y/r)2 + y/r, 1 < f < 1.2, y(l) = 1, with/rmax = 0.05 and Amr'n = 0.02. b. y' = sin r + e~', 0 < r < I, y(0) = 0, with hmax 0.25 and hmin 0.02. c. y' = (y2 -f y)/r, 1 < t < 3, y(l) = 2, with hmax = 0.5 and hmin = 0.02. d. y' = t 2 , 0 < / < 2, y(0) 0, with hmax = 0.5 and hmin = 0.02.

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