Solved: Solve the following stiff initial-value problems using Euler's method and
Chapter 5, Problem 1(choose chapter or problem)
Solve the following stiff initial-value problems using Euler's method and compare the results with the actual solution. )'(()) = e, with h = 0.1; actual solution y(t) = e l ~ 9 a. '. b. c. / = -9y, y' = 20(y -t2 ) + 2t, 0 < t < 1, t 2 0 < / < I, t2\ i20/ 3 e y(0) = j, with h = 0.1; actual solution y(t) = y' 20y + 20sin; + cosr, 0 < r < 2, y(0) = I, with h 0.25; actual solution y(t) = sin / + e~20'. d. y' 50/y - 50y, 0 < / < I, >'(0) = \/2, with h 0.1; actual solution y(t) (1 +t.-ioo/) i/2
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