Use the Adams Variable Step-Size Predictor-Corrector Algorithm with tolerance TOL 10-4
Chapter 5, Problem 1(choose chapter or problem)
Use the Adams Variable Step-Size Predictor-Corrector Algorithm with tolerance TOL 10-4 , hmax = 0.25, and hmin = 0.025 to approximate the solutions to the given initial-value problems. Compare the results to the actual values. a. y' = tey 2y, 0 < t < I, ^(0) = 0; actual solution ^(r) = jte3 ' - + ^e~2 '. b. /= 1 -f (/ y)2 , 2 < ? < 3, ;y(2)=l; actual solution j(r) = ? +1/(1 /). c. y'=\-\-y/t, \ '(1) = 2; actual solution _y(?) = r In? + 2?. d. = cos2/ + sin3f, 0 < / < 1, j(0) = 1; actual solution )'(?) = i sin 2r - ^ cos 3/+ |.
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