Solved: Use the Extrapolation Algorithm with tolerance TOL = 106, hmax = 0.5, and hmin =
Chapter 5, Problem 3(choose chapter or problem)
Use the Extrapolation Algorithm with tolerance TOL = 106, 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. y = y/t (y/t)2, 1 t 4, y(1) = 1; actual solution y(t) = t/(1 + ln t). b. y = 1 + y/t + (y/t) 2 , 1 t 3, y(1) = 0; actual solution y(t) = t tan(ln t). c. y = (y + 1)(y + 3), 0 t 3, y(0) = 2; actual solution y(t) = 3 + 2(1 + e2t )1. d. y = (t + 2t 3)y3 ty, 0 t 2, y(0) = 1 3 ; actual solution y(t) = (3 + 2t 2 + 6et 2 )1/2. 4. L
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