Consider the initial-value problem dy dt = 2t y2, y(0) = 1
Chapter , Problem 6(choose chapter or problem)
Consider the initial-value problem dy dt = 2t y2, y(0) = 1 over the interval 0 t 2. (a) Calculate the Runge-Kutta approximation to the solution with n = 4 steps. (b) Calculate the total error e4 associated with this approximation. (c) How many steps are necessary to approximate the solution with an error of less than 0.0001?
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