Use the Extrapolation Algorithm with tolerance TOL I0-4 , hmax 0.25, and hmin 0.05 to
Chapter 5, Problem 1(choose chapter or problem)
Use the Extrapolation Algorithm with tolerance TOL I0-4 , hmax 0.25, and hmin 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. a. y' - re3 ' - 2y, 0 < r < I, >-(0) -- 0; actual solution y{t) ^le3 " - ^e3 ' + ^e-2'. b. /= l + (r y)2 , 2 < t <3, y(2) = I; actual solution y(t) = r + 1/(1 -r). c. y' = l+y/t, \'(r) = f sin2r - f cos3r + |.
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