Use the Runge-Kutta-Fehlberg method with tolerance TOL ItT6 , hmax 0.5, and hmin 0.05 to
Chapter 5, Problem 4(choose chapter or problem)
Use the Runge-Kutta-Fehlberg method with tolerance TOL ItT6 , hmax 0.5, and hmin 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. a. v ^ < r < 3, >'(0) -- I; actual solution y(t) = (2t + l)/(r2 + 1). b. /= ^7, 1 < ' < 4, yd) = (In2)-1; actual solution y{t) = i^T). c. y' = ty +4t/y, 0 < t < 1, y(0) = I; actual solution y(t) = \/4 - 3c-'2 . d. >' = y + ryl/2 , 2 < r < 4, y(2) = 2; actual solution y(r) (t 2 + \/2e c _ ' /2) 2 .
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